GCF of 674 and 997

What is the GCF of 674 and 997?


GCF of 674 and 997

is 1

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What is the Greatest Common Factor of 674 and 997? 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 674 and 997 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 674.
    2, 337
  2. Find the prime factors of the second number 997.
    997
  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 674.
    1, 2, 337, 674
  2. Find the factors of the second number 997.
    1, 997
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 674 and 997 is 1.

GCD (Greatest Common Divisor) of 674 and 997 is 1.

HCF (Highest Common Factor) of 674 and 997 is 1.

Number GCF LCM
674 & 992 2 334304
674 & 993 1 669282
674 & 994 2 334978
674 & 995 1 670630
674 & 996 2 335652
674 & 997 1 671978
674 & 998 2 336326
674 & 999 1 673326
674 & 1000 2 337000
674 & 1001 1 674674
674 & 1002 2 337674