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GCD of 825, 190, 682, 979 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 825, 190, 682, 979 quickly. Get the easiest ways to solve the greatest common divisor of 825, 190, 682, 979 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 190, 682, 979 with Factoring?

Given Input numbers are 825, 190, 682, 979

In the factoring method, we have to find the divisors of all numbers

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

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

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979


GCD of numbers is the greatest common divisor

So, the GCD (825, 190, 682, 979) = 1.

Find GCD of 825, 190, 682, 979 using Prime Factorization

Given numbers are 825, 190, 682, 979

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 190 are 2 x 5 x 19

Prime factors of 682 are 2 x 11 x 31

Prime factors of 979 are 11 x 89

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

Steps to Calculate GCD of 825, 190, 682, 979 using LCM Formula

Given numbers are 825, 190, 682, 979

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(825, 190) = 31350

GCD(825, 190) = ( 825 x 190 ) / 31350

= 825 / 190

= 825


Step2:

LCM(5, 682) = 3410

GCD(5, 682) = ( 5 x 682 ) / 3410

= 5 / 682

= 5


Step3:

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

= 1 / 979

= 1


So, Greatest Common Divisor of 825, 190, 682, 979 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 190, 682, 979

Given numbers are 825, 190, 682, 979
The greatest common divisor of numbers 825, 190, 682, 979 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 190, 682, 979 is 1.

FAQs on GCD of 825, 190, 682, 979 Calculator

1. What is the GCD of 825, 190, 682, 979?

GCD of given numbers 825, 190, 682, 979 is 1


2. How to calculate the greatest common divisor of 825, 190, 682, 979?

We can find the highest common divisor of 825, 190, 682, 979 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 825, 190, 682, 979 i.e 1.


3. How can I use the GCD of 825, 190, 682, 979Calculator?

Out the numbers 825, 190, 682, 979 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.