GCF of 809 and 10

What is the GCF of 809 and 10?


GCF of 809 and 10

is 1

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What is the Greatest Common Factor of 809 and 10? 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 809 and 10 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 809.
    809
  2. Find the prime factors of the second number 10.
    2, 5
  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 809.
    1, 809
  2. Find the factors of the second number 10.
    1, 2, 5, 10
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 809 and 10 is 1.

GCD (Greatest Common Divisor) of 809 and 10 is 1.

HCF (Highest Common Factor) of 809 and 10 is 1.

Number GCF LCM
809 & 5 1 4045
809 & 6 1 4854
809 & 7 1 5663
809 & 8 1 6472
809 & 9 1 7281
809 & 10 1 8090
809 & 11 1 8899
809 & 12 1 9708
809 & 13 1 10517
809 & 14 1 11326
809 & 15 1 12135