GCF of 1005 and 724

What is the GCF of 1005 and 724?


GCF of 1005 and 724

is 1

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What is the Greatest Common Factor of 1005 and 724? 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 1005 and 724 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1005.
    3, 5, 67
  2. Find the prime factors of the second number 724.
    2, 2, 181
  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 1005.
    1, 3, 5, 15, 67, 201, 335, 1005
  2. Find the factors of the second number 724.
    1, 2, 4, 181, 362, 724
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1005 and 724 is 1.

GCD (Greatest Common Divisor) of 1005 and 724 is 1.

HCF (Highest Common Factor) of 1005 and 724 is 1.

Number GCF LCM
1005 & 719 1 722595
1005 & 720 15 48240
1005 & 721 1 724605
1005 & 722 1 725610
1005 & 723 3 242205
1005 & 724 1 727620
1005 & 725 5 145725
1005 & 726 3 243210
1005 & 727 1 730635
1005 & 728 1 731640
1005 & 729 3 244215