GCF of 1004 and 687

What is the GCF of 1004 and 687?


GCF of 1004 and 687

is 1

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What is the Greatest Common Factor of 1004 and 687? 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 1004 and 687 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1004.
    2, 2, 251
  2. Find the prime factors of the second number 687.
    3, 229
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 1004.
    1, 2, 4, 251, 502, 1004
  2. Find the factors of the second number 687.
    1, 3, 229, 687
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1004 and 687 is 1.

GCD (Greatest Common Divisor) of 1004 and 687 is 1.

HCF (Highest Common Factor) of 1004 and 687 is 1.

Number GCF LCM
1004 & 682 2 342364
1004 & 683 1 685732
1004 & 684 4 171684
1004 & 685 1 687740
1004 & 686 2 344372
1004 & 687 1 689748
1004 & 688 4 172688
1004 & 689 1 691756
1004 & 690 2 346380
1004 & 691 1 693764
1004 & 692 4 173692