GCF of 225 and 990

What is the GCF of 225 and 990?


GCF of 225 and 990

is 45

Formula How to

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What is the Greatest Common Factor of 225 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 225 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 225.
    3, 3, 5, 5
  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,
    45

Factors Method:

  1. Find the factors of the first number 225.
    1, 3, 5, 9, 15, 25, 45, 75, 225
  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,
    45

GCF (Greatest Common Factor) of 225 and 990 is 45.

GCD (Greatest Common Divisor) of 225 and 990 is 45.

HCF (Highest Common Factor) of 225 and 990 is 45.

Number GCF LCM
225 & 985 5 44325
225 & 986 1 221850
225 & 987 3 74025
225 & 988 1 222300
225 & 989 1 222525
225 & 990 45 4950
225 & 991 1 222975
225 & 992 1 223200
225 & 993 3 74475
225 & 994 1 223650
225 & 995 5 44775