GCF of 999 and 198

What is the GCF of 999 and 198?


GCF of 999 and 198

is 9

Formula How to

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What is the Greatest Common Factor of 999 and 198? 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 999 and 198 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 999.
    3, 3, 3, 37
  2. Find the prime factors of the second number 198.
    2, 3, 3, 11
  3. Multiply of all the common prime factors is the GCF value. Which is,
    9

Factors Method:

  1. Find the factors of the first number 999.
    1, 3, 9, 27, 37, 111, 333, 999
  2. Find the factors of the second number 198.
    1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
  3. The biggest common factor number is the GCF value. Which is,
    9

GCF (Greatest Common Factor) of 999 and 198 is 9.

GCD (Greatest Common Divisor) of 999 and 198 is 9.

HCF (Highest Common Factor) of 999 and 198 is 9.

Number GCF LCM
999 & 193 1 192807
999 & 194 1 193806
999 & 195 3 64935
999 & 196 1 195804
999 & 197 1 196803
999 & 198 9 21978
999 & 199 1 198801
999 & 200 1 199800
999 & 201 3 66933
999 & 202 1 201798
999 & 203 1 202797