GCF of 1008 and 807

What is the GCF of 1008 and 807?


GCF of 1008 and 807

is 3

Formula How to

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What is the Greatest Common Factor of 1008 and 807? 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 807 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 807.
    3, 269
  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 807.
    1, 3, 269, 807
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 1008 and 807 is 3.

GCD (Greatest Common Divisor) of 1008 and 807 is 3.

HCF (Highest Common Factor) of 1008 and 807 is 3.

Number GCF LCM
1008 & 802 2 404208
1008 & 803 1 809424
1008 & 804 12 67536
1008 & 805 7 115920
1008 & 806 2 406224
1008 & 807 3 271152
1008 & 808 8 101808
1008 & 809 1 815472
1008 & 810 18 45360
1008 & 811 1 817488
1008 & 812 28 29232