GCF of 1107 and 999

What is the GCF of 1107 and 999?


GCF of 1107 and 999

is 27

Formula How to

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What is the Greatest Common Factor of 1107 and 999? 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 1107 and 999 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1107.
    3, 3, 3, 41
  2. Find the prime factors of the second number 999.
    3, 3, 3, 37
  3. Multiply of all the common prime factors is the GCF value. Which is,
    27

Factors Method:

  1. Find the factors of the first number 1107.
    1, 3, 9, 27, 41, 123, 369, 1107
  2. Find the factors of the second number 999.
    1, 3, 9, 27, 37, 111, 333, 999
  3. The biggest common factor number is the GCF value. Which is,
    27

GCF (Greatest Common Factor) of 1107 and 999 is 27.

GCD (Greatest Common Divisor) of 1107 and 999 is 27.

HCF (Highest Common Factor) of 1107 and 999 is 27.

Number GCF LCM
1107 & 994 1 1100358
1107 & 995 1 1101465
1107 & 996 3 367524
1107 & 997 1 1103679
1107 & 998 1 1104786
1107 & 999 27 40959
1107 & 1000 1 1107000
1107 & 1001 1 1108107
1107 & 1002 3 369738
1107 & 1003 1 1110321
1107 & 1004 1 1111428