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GCD of 980, 565, 250 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, 565, 250 quickly. Get the easiest ways to solve the greatest common divisor of 980, 565, 250 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 980, 565, 250 with Factoring?

Given Input numbers are 980, 565, 250

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 565 :

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

1, 5, 113, 565

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250


GCD of numbers is the greatest common divisor

So, the GCD (980, 565, 250) = 5.

Find GCD of 980, 565, 250 using Prime Factorization

Given numbers are 980, 565, 250

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 565 are 5 x 113

Prime factors of 250 are 2 x 5 x 5 x 5

The highest common occurrence is 51

Therefore, GCD of 980, 565, 250 is 5.

Steps to Calculate GCD of 980, 565, 250 using LCM Formula

Given numbers are 980, 565, 250

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

Apply this formula for all numbers.

Step1:

LCM(980, 565) = 110740

GCD(980, 565) = ( 980 x 565 ) / 110740

= 980 / 565

= 980


Step2:

LCM(5, 250) = 250

GCD(5, 250) = ( 5 x 250 ) / 250

= 5 / 250

= 5


So, Greatest Common Divisor of 980, 565, 250 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 980, 565, 250

Given numbers are 980, 565, 250
The greatest common divisor of numbers 980, 565, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 565, 250 is 5.

FAQs on GCD of 980, 565, 250 Calculator

1. What is the GCD of 980, 565, 250?

GCD of given numbers 980, 565, 250 is 5


2. How to calculate the greatest common divisor of 980, 565, 250?

We can find the highest common divisor of 980, 565, 250 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, 565, 250 i.e 5.


3. How can I use the GCD of 980, 565, 250Calculator?

Out the numbers 980, 565, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.