GCF of 1010 and 825

What is the GCF of 1010 and 825?


GCF of 1010 and 825

is 5

Formula How to

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What is the Greatest Common Factor of 1010 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 1010 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 1010.
    2, 5, 101
  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,
    5

Factors Method:

  1. Find the factors of the first number 1010.
    1, 2, 5, 10, 101, 202, 505, 1010
  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,
    5

GCF (Greatest Common Factor) of 1010 and 825 is 5.

GCD (Greatest Common Divisor) of 1010 and 825 is 5.

HCF (Highest Common Factor) of 1010 and 825 is 5.

Number GCF LCM
1010 & 820 10 82820
1010 & 821 1 829210
1010 & 822 2 415110
1010 & 823 1 831230
1010 & 824 2 416120
1010 & 825 5 166650
1010 & 826 2 417130
1010 & 827 1 835270
1010 & 828 2 418140
1010 & 829 1 837290
1010 & 830 10 83830