GCD of 825, 979, 78, 986 Calculator

Given Input numbers are 825, 979, 78, 986

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 825, 979, 78, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 979, 78, 986 is 1.

Therefore, GCD of numbers 825, 979, 78, 986 is 1

Given Input Data is 825, 979, 78, 986

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 979 is 11 x 89

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 986 is 2 x 17 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(825, 979) = 73425

GCD(825, 979) = ( 825 x 979 ) / 73425

GCD(825, 979) = 807675 / 73425

GCD(825, 979) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 78

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(11, 78) = 858

GCD(11, 78) = ( 11 x 78 ) / 858

GCD(11, 78) = 858 / 858

GCD(11, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 825, 979, 78, 986 is 1

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1. What is the GCD of 825, 979, 78, 986?

GCD of 825, 979, 78, 986 is 1

2. Where do I get the detailed procedure to find GCD of 825, 979, 78, 986?

You can find a detailed procedure to find GCD of 825, 979, 78, 986 on our page.

3. How to find GCD of 825, 979, 78, 986 on a calculator?

You can find the GCD of 825, 979, 78, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.