GCF of 1000 and 825

What is the GCF of 1000 and 825?

GCF of 1000 and 825

is 25

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Greatest Common Factor

What is the Greatest Common Factor of 1000 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 1000 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 1000.
    2, 2, 2, 5, 5, 5
  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,
    25

Factors Method:

  1. Find the factors of the first number 1000.
    1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
  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,
    25

GCF (Greatest Common Factor) of 1000 and 825 is 25.

GCD (Greatest Common Divisor) of 1000 and 825 is 25.

HCF (Highest Common Factor) of 1000 and 825 is 25.

Number GCF LCM
1000 & 820 20 41000
1000 & 821 1 821000
1000 & 822 2 411000
1000 & 823 1 823000
1000 & 824 8 103000
1000 & 825 25 33000
1000 & 826 2 413000
1000 & 827 1 827000
1000 & 828 4 207000
1000 & 829 1 829000
1000 & 830 10 83000
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