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How do you find HCF when LCM and ratio are given?

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How do you find HCF when LCM and ratio are given?

If k = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9. If k = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9….Solved Examples(Set 1) – HCF and LCM.

3. Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:
A. 40 B. 20
C. 10 D. 30

What is the HCF of 2400?

So, 60x = 2400 or x = 40. The numbers are (3 x 40), (4 x 40) and (5 x 40). Hence, required H.C.F. = 40.

What is the relation between LCM and HCF of three numbers?

The Relation Between HCF and LCM of co-prime numbers is the product of the numbers = LCM of Co-Prime numbers, as the HCF of co-prime numbers is equal to 1.

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What is the HCF of 3 ratio 4 ratio 5?

∴ The HCF of the three numbers be 40.

What is the HCF of 3/4 and 5?

1
Answer: HCF of 3, 4 and 5 is 1.

What is LCM and HCF?

LCM : The least number which is exactly divisible by each of the given numbers is called the least common multiple of those numbers. HCF : The largest number that divides two or more numbers is the highest common factor (HCF) for those numbers.

What is HCF and LCM example?

For example, the HCF of 24 and 36 is 12, because 12 is the largest number which can divide both the numbers completely. Similarly, the least common multiple (LCM) of two or more numbers is the smallest number which is a common multiple of the given numbers. The multiples of 16 are 16, 32, 48, 64, 80, 96, and so on.

What would be the HCF if the LCM of three numbers is 2400 and their ratio is 3/4 5?

40
Three numbers are in the ratio 3:4:5, and their LCM is 2400; then its HCF is ___? ∴ The HCF of the three numbers be 40.

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What is the HCF of 36 90 and 108?

18
H.C.F. of 108, 36 and 90 is 18, H.C.F. of given numbers = 0.18.

Is HCF a multiple of LCM?

Lowest Common Multiple (LCM): The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60. Highest Common Factor (HCF): The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers.

Is HCF and LCM same?

LCM and HCF of two numbers are the same. HCF being the highest common factor is always a factor of both the numbers. Therefore the numbers can be written as multiples of HCF.

What is the HCF of 4x5x and 6x?

Their HCF = x ( naturally, x is more than one because if it would have been one, then the numbers would have been 4 ,5 and 6 and their LCM= 60 and not 2400) LCM of 4x,5x and 6x is 60x. Therefore, their HCF is 40. Hope this helps you.

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How do you find the product of HCF and LCM?

The formula which involves both HCF and LCM is: Product of Two numbers = (HCF of the two numbers) x (LCM of the two numbers) Say, A and B are the two numbers, then as per the formula; A x B = H.C.F.

How to find the HCF of more than 3 numbers?

The above steps can also be used to find the HCF of more than 3 numbers. Example: Find the HCF of 144 and 160 by division method. Since 160>144, so the dividend will be 160 and the divisor will be 144. Hence, we can see here 16 is the highest number which divides 160 and 144. To calculate the LCM of two numbers 60 and 45.

How to calculate the LCM of two numbers 60 and 45?

To calculate the LCM of two numbers 60 and 45. Out of other ways, One way to find the LCM of given numbers is as below: List the prime factors of each number first. Then multiply each factor the most number of times it occurs in any number.

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