GCF of 1005 and 612

What is the GCF of 1005 and 612?


GCF of 1005 and 612

is 3

Formula How to

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What is the Greatest Common Factor of 1005 and 612? 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 612 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 612.
    2, 2, 3, 3, 17
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

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 612.
    1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
  3. The biggest common factor number is the GCF value. Which is,
    3

Number GCF LCM
1005 & 607 1 610035
1005 & 608 1 611040
1005 & 609 3 204015
1005 & 610 5 122610
1005 & 611 1 614055
1005 & 612 3 205020
1005 & 613 1 616065
1005 & 614 1 617070
1005 & 615 15 41205
1005 & 616 1 619080
1005 & 617 1 620085

GCF (Greatest Common Factor) of 1005 and 612 is 3.

GCD (Greatest Common Divisor) of 1005 and 612 is 3.

HCF (Highest Common Factor) of 1005 and 612 is 3.