GCF of 968 and 1950

What is the GCF of 968 and 1950?

GCF of 968 and 1950

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 968 and 1950? 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 968 and 1950 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 968.
    2, 2, 2, 11, 11
  2. Find the prime factors of the second number 1950.
    2, 3, 5, 5, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

Factors Method:

  1. Find the factors of the first number 968.
    1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
  2. Find the factors of the second number 1950.
    1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
  3. The biggest common factor number is the GCF value. Which is,
    2

Number GCF LCM
968 & 1945 1 1882760
968 & 1946 2 941864
968 & 1947 11 171336
968 & 1948 4 471416
968 & 1949 1 1886632
968 & 1950 2 943800
968 & 1951 1 1888568
968 & 1952 8 236192
968 & 1953 1 1890504
968 & 1954 2 945736
968 & 1955 1 1892440

GCF (Greatest Common Factor) of 968 and 1950 is 2.

GCD (Greatest Common Divisor) of 968 and 1950 is 2.

HCF (Highest Common Factor) of 968 and 1950 is 2.
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