GCF of 198 and 990

What is the GCF of 198 and 990?


GCF of 198 and 990

is 198

Formula How to

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What is the Greatest Common Factor of 198 and 990? 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 198 and 990 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 198.
    2, 3, 3, 11
  2. Find the prime factors of the second number 990.
    2, 3, 3, 5, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    198

Factors Method:

  1. Find the factors of the first number 198.
    1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
  2. Find the factors of the second number 990.
    1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
  3. The biggest common factor number is the GCF value. Which is,
    198

GCF (Greatest Common Factor) of 198 and 990 is 198.

GCD (Greatest Common Divisor) of 198 and 990 is 198.

HCF (Highest Common Factor) of 198 and 990 is 198.

Number GCF LCM
198 & 985 1 195030
198 & 986 2 97614
198 & 987 3 65142
198 & 988 2 97812
198 & 989 1 195822
198 & 990 198 990
198 & 991 1 196218
198 & 992 2 98208
198 & 993 3 65538
198 & 994 2 98406
198 & 995 1 197010