GCF of 1122 and 987

What is the GCF of 1122 and 987?


GCF of 1122 and 987

is 3

Formula How to

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What is the Greatest Common Factor of 1122 and 987? 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 1122 and 987 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1122.
    2, 3, 11, 17
  2. Find the prime factors of the second number 987.
    3, 7, 47
  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 1122.
    1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122
  2. Find the factors of the second number 987.
    1, 3, 7, 21, 47, 141, 329, 987
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 1122 and 987 is 3.

GCD (Greatest Common Divisor) of 1122 and 987 is 3.

HCF (Highest Common Factor) of 1122 and 987 is 3.

Number GCF LCM
1122 & 982 2 550902
1122 & 983 1 1102926
1122 & 984 6 184008
1122 & 985 1 1105170
1122 & 986 34 32538
1122 & 987 3 369138
1122 & 988 2 554268
1122 & 989 1 1109658
1122 & 990 66 16830
1122 & 991 1 1111902
1122 & 992 2 556512