GCF of 1020 and 812

What is the GCF of 1020 and 812?


GCF of 1020 and 812

is 4

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What is the Greatest Common Factor of 1020 and 812? 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 1020 and 812 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1020.
    2, 2, 3, 5, 17
  2. Find the prime factors of the second number 812.
    2, 2, 7, 29
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 1020.
    1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020
  2. Find the factors of the second number 812.
    1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 1020 and 812 is 4.

GCD (Greatest Common Divisor) of 1020 and 812 is 4.

HCF (Highest Common Factor) of 1020 and 812 is 4.

Number GCF LCM
1020 & 807 3 274380
1020 & 808 4 206040
1020 & 809 1 825180
1020 & 810 30 27540
1020 & 811 1 827220
1020 & 812 4 207060
1020 & 813 3 276420
1020 & 814 2 415140
1020 & 815 5 166260
1020 & 816 204 4080
1020 & 817 1 833340