GCF of 456 and 987

What is the GCF of 456 and 987?


GCF of 456 and 987

is 3

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What is the Greatest Common Factor of 456 and 987? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 456 and 987 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 456.
    2, 2, 2, 3, 19
  2. Find the prime factors of the second number 987.
    3, 7, 47
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 456.
    1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
  2. Find the factors of the second number 987.
    1, 3, 7, 21, 47, 141, 329, 987
  3. The biggest common factor number is the GCF value. Which is,
    3

Number GCF LCM
456 & 982 2 223896
456 & 983 1 448248
456 & 984 24 18696
456 & 985 1 449160
456 & 986 2 224808
456 & 987 3 150024
456 & 988 76 5928
456 & 989 1 450984
456 & 990 6 75240
456 & 991 1 451896
456 & 992 8 56544

GCF (Greatest Common Factor) of 456 and 987 is 3.

GCD (Greatest Common Divisor) of 456 and 987 is 3.

HCF (Highest Common Factor) of 456 and 987 is 3.