GCF of 1008 and 933

What is the GCF of 1008 and 933?

GCF of 1008 and 933

is 3

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Greatest Common Factor

What is the Greatest Common Factor of 1008 and 933? 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 1008 and 933 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1008.
    2, 2, 2, 2, 3, 3, 7
  2. Find the prime factors of the second number 933.
    3, 311
  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 1008.
    1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
  2. Find the factors of the second number 933.
    1, 3, 311, 933
  3. The biggest common factor number is the GCF value. Which is,
    3

Number GCF LCM
1008 & 928 16 58464
1008 & 929 1 936432
1008 & 930 6 156240
1008 & 931 7 134064
1008 & 932 4 234864
1008 & 933 3 313488
1008 & 934 2 470736
1008 & 935 1 942480
1008 & 936 72 13104
1008 & 937 1 944496
1008 & 938 14 67536

GCF (Greatest Common Factor) of 1008 and 933 is 3.

GCD (Greatest Common Divisor) of 1008 and 933 is 3.

HCF (Highest Common Factor) of 1008 and 933 is 3.
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