GCF of 489 and 900

What is the GCF of 489 and 900?


GCF of 489 and 900

is 3

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 489 and 900? 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 489 and 900 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 489.
    3, 163
  2. Find the prime factors of the second number 900.
    2, 2, 3, 3, 5, 5
  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 489.
    1, 3, 163, 489
  2. Find the factors of the second number 900.
    1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
  3. The biggest common factor number is the GCF value. Which is,
    3

Number GCF LCM
489 & 895 1 437655
489 & 896 1 438144
489 & 897 3 146211
489 & 898 1 439122
489 & 899 1 439611
489 & 900 3 146700
489 & 901 1 440589
489 & 902 1 441078
489 & 903 3 147189
489 & 904 1 442056
489 & 905 1 442545

GCF (Greatest Common Factor) of 489 and 900 is 3.

GCD (Greatest Common Divisor) of 489 and 900 is 3.

HCF (Highest Common Factor) of 489 and 900 is 3.