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GCD of 980, 695, 565 Calculator

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


Online GCD Calculator is useful to find the GCD of 980, 695, 565 quickly. Get the easiest ways to solve the greatest common divisor of 980, 695, 565 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 980, 695, 565 with Factoring?

Given Input numbers are 980, 695, 565

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565


GCD of numbers is the greatest common divisor

So, the GCD (980, 695, 565) = 5.

Find GCD of 980, 695, 565 using Prime Factorization

Given numbers are 980, 695, 565

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 695 are 5 x 139

Prime factors of 565 are 5 x 113

The highest common occurrence is 51

Therefore, GCD of 980, 695, 565 is 5.

Steps to Calculate GCD of 980, 695, 565 using LCM Formula

Given numbers are 980, 695, 565

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

Apply this formula for all numbers.

Step1:

LCM(980, 695) = 136220

GCD(980, 695) = ( 980 x 695 ) / 136220

= 980 / 695

= 980


Step2:

LCM(5, 565) = 565

GCD(5, 565) = ( 5 x 565 ) / 565

= 5 / 565

= 5


So, Greatest Common Divisor of 980, 695, 565 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 980, 695, 565

Given numbers are 980, 695, 565
The greatest common divisor of numbers 980, 695, 565 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 695, 565 is 5.

FAQs on GCD of 980, 695, 565 Calculator

1. What is the GCD of 980, 695, 565?

GCD of given numbers 980, 695, 565 is 5


2. How to calculate the greatest common divisor of 980, 695, 565?

We can find the highest common divisor of 980, 695, 565 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 980, 695, 565 i.e 5.


3. How can I use the GCD of 980, 695, 565Calculator?

Out the numbers 980, 695, 565 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.