GCF of 264 and 477

What is the GCF of 264 and 477?


GCF of 264 and 477

is 3

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What is the Greatest Common Factor of 264 and 477? 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 264 and 477 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 264.
    2, 2, 2, 3, 11
  2. Find the prime factors of the second number 477.
    3, 3, 53
  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 264.
    1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
  2. Find the factors of the second number 477.
    1, 3, 9, 53, 159, 477
  3. The biggest common factor number is the GCF value. Which is,
    3

Number GCF LCM
264 & 472 8 15576
264 & 473 11 11352
264 & 474 6 20856
264 & 475 1 125400
264 & 476 4 31416
264 & 477 3 41976
264 & 478 2 63096
264 & 479 1 126456
264 & 480 24 5280
264 & 481 1 126984
264 & 482 2 63624

GCF (Greatest Common Factor) of 264 and 477 is 3.

GCD (Greatest Common Divisor) of 264 and 477 is 3.

HCF (Highest Common Factor) of 264 and 477 is 3.