GCF of 999 and 825

What is the GCF of 999 and 825?


GCF of 999 and 825

is 3

Formula How to

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What is the Greatest Common Factor of 999 and 825? 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 825 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 825.
    3, 5, 5, 11
  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 999.
    1, 3, 9, 27, 37, 111, 333, 999
  2. Find the factors of the second number 825.
    1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 999 and 825 is 3.

GCD (Greatest Common Divisor) of 999 and 825 is 3.

HCF (Highest Common Factor) of 999 and 825 is 3.

Number GCF LCM
999 & 820 1 819180
999 & 821 1 820179
999 & 822 3 273726
999 & 823 1 822177
999 & 824 1 823176
999 & 825 3 274725
999 & 826 1 825174
999 & 827 1 826173
999 & 828 9 91908
999 & 829 1 828171
999 & 830 1 829170