GCF of 998 and 821

What is the GCF of 998 and 821?

GCF of 998 and 821

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 998 and 821? 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 998 and 821 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 998.
    2, 499
  2. Find the prime factors of the second number 821.
    821
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 998.
    1, 2, 499, 998
  2. Find the factors of the second number 821.
    1, 821
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 998 and 821 is 1.

GCD (Greatest Common Divisor) of 998 and 821 is 1.

HCF (Highest Common Factor) of 998 and 821 is 1.

Number GCF LCM
998 & 816 2 407184
998 & 817 1 815366
998 & 818 2 408182
998 & 819 1 817362
998 & 820 2 409180
998 & 821 1 819358
998 & 822 2 410178
998 & 823 1 821354
998 & 824 2 411176
998 & 825 1 823350
998 & 826 2 412174
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