GCF of 297 and 999

What is the GCF of 297 and 999?


GCF of 297 and 999

is 27

Formula How to

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What is the Greatest Common Factor of 297 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 297 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 297.
    3, 3, 3, 11
  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 297.
    1, 3, 9, 11, 27, 33, 99, 297
  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 297 and 999 is 27.

GCD (Greatest Common Divisor) of 297 and 999 is 27.

HCF (Highest Common Factor) of 297 and 999 is 27.

Number GCF LCM
297 & 994 1 295218
297 & 995 1 295515
297 & 996 3 98604
297 & 997 1 296109
297 & 998 1 296406
297 & 999 27 10989
297 & 1000 1 297000
297 & 1001 11 27027
297 & 1002 3 99198
297 & 1003 1 297891
297 & 1004 1 298188