GCF of 824 and 989

What is the GCF of 824 and 989?


GCF of 824 and 989

is 1

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What is the Greatest Common Factor of 824 and 989? 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 824 and 989 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 824.
    2, 2, 2, 103
  2. Find the prime factors of the second number 989.
    23, 43
  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 824.
    1, 2, 4, 8, 103, 206, 412, 824
  2. Find the factors of the second number 989.
    1, 23, 43, 989
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 824 and 989 is 1.

GCD (Greatest Common Divisor) of 824 and 989 is 1.

HCF (Highest Common Factor) of 824 and 989 is 1.

Number GCF LCM
824 & 984 8 101352
824 & 985 1 811640
824 & 986 2 406232
824 & 987 1 813288
824 & 988 4 203528
824 & 989 1 814936
824 & 990 2 407880
824 & 991 1 816584
824 & 992 8 102176
824 & 993 1 818232
824 & 994 2 409528