GCF of 274 and 967

What is the GCF of 274 and 967?


GCF of 274 and 967

is 1

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What is the Greatest Common Factor of 274 and 967? 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 274 and 967 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 274.
    2, 137
  2. Find the prime factors of the second number 967.
    967
  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 274.
    1, 2, 137, 274
  2. Find the factors of the second number 967.
    1, 967
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
274 & 962 2 131794
274 & 963 1 263862
274 & 964 2 132068
274 & 965 1 264410
274 & 966 2 132342
274 & 967 1 264958
274 & 968 2 132616
274 & 969 1 265506
274 & 970 2 132890
274 & 971 1 266054
274 & 972 2 133164

GCF (Greatest Common Factor) of 274 and 967 is 1.

GCD (Greatest Common Divisor) of 274 and 967 is 1.

HCF (Highest Common Factor) of 274 and 967 is 1.