GCF of 189 and 984

What is the GCF of 189 and 984?


GCF of 189 and 984

is 3

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What is the Greatest Common Factor of 189 and 984? 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 189 and 984 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 189.
    3, 3, 3, 7
  2. Find the prime factors of the second number 984.
    2, 2, 2, 3, 41
  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 189.
    1, 3, 7, 9, 21, 27, 63, 189
  2. Find the factors of the second number 984.
    1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 189 and 984 is 3.

GCD (Greatest Common Divisor) of 189 and 984 is 3.

HCF (Highest Common Factor) of 189 and 984 is 3.

Number GCF LCM
189 & 979 1 185031
189 & 980 7 26460
189 & 981 9 20601
189 & 982 1 185598
189 & 983 1 185787
189 & 984 3 61992
189 & 985 1 186165
189 & 986 1 186354
189 & 987 21 8883
189 & 988 1 186732
189 & 989 1 186921