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The highest common factor, or HCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. Natural numbers are the same as counting numbers.

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the HCF

Q: What is the HCF of two natural numbers?

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The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.

draw a flow chart to find hcf of two given numbers

The HCF is the largest number that both numbers can be divided by. If the HCF is 1, that would suggest that the two numbers share no prime factors. Thus, any two numbers which are coprime will have an HCF of 1. Consecutive numbers are good examples here - 15 and 16, 27 and 28, 104 and 105, all have an HCF of 1.

You need at least two numbers to find an HCF.

You need at least two numbers to find an HCF.

The Highest Common Factor (HCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the HCF of 120 and 400, you can use the prime factorization method. The prime factorization of 120 is 2^3 * 3 * 5 and the prime factorization of 400 is 2^4 * 5^2. To find the HCF, you take the common prime factors with the lowest exponent, which in this case is 2^3 * 5 = 40. Therefore, the HCF of 120 and 400 is 40.

The HCF of the given two numbers is 14

Two or more numbers are needed to find the HCF

An HCF is the product of any common prime factors of two numbers. If two numbers have no common prime factors, then the HCF will be 1. For example, 10 and 21. The prime factors are 2x5 and 3x7. There is nothing in common, and so the HCF of 10 and 21 is 1. Two consecutive numbers will always have the HCF of 1.

Two or more numbers are needed in order to find the HCF

Yes.First find the HCF of two of the numbers, then find the HCF of that answer and the third number.In this way you could find the HCF of as many numbers as you want.

It is: 1