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GCD of 880, 626, 564, 980 Calculator

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


Online GCD Calculator is useful to find the GCD of 880, 626, 564, 980 quickly. Get the easiest ways to solve the greatest common divisor of 880, 626, 564, 980 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 880, 626, 564, 980 with Factoring?

Given Input numbers are 880, 626, 564, 980

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

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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


GCD of numbers is the greatest common divisor

So, the GCD (880, 626, 564, 980) = 2.

Find GCD of 880, 626, 564, 980 using Prime Factorization

Given numbers are 880, 626, 564, 980

The list of prime factors of all numbers are

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 626 are 2 x 313

Prime factors of 564 are 2 x 2 x 3 x 47

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

The highest common occurrence is 21

Therefore, GCD of 880, 626, 564, 980 is 2.

Steps to Calculate GCD of 880, 626, 564, 980 using LCM Formula

Given numbers are 880, 626, 564, 980

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

Apply this formula for all numbers.

Step1:

LCM(880, 626) = 275440

GCD(880, 626) = ( 880 x 626 ) / 275440

= 880 / 626

= 880


Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2


Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2


So, Greatest Common Divisor of 880, 626, 564, 980 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 880, 626, 564, 980

Given numbers are 880, 626, 564, 980
The greatest common divisor of numbers 880, 626, 564, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 626, 564, 980 is 2.

FAQs on GCD of 880, 626, 564, 980 Calculator

1. What is the GCD of 880, 626, 564, 980?

GCD of given numbers 880, 626, 564, 980 is 2


2. How to calculate the greatest common divisor of 880, 626, 564, 980?

We can find the highest common divisor of 880, 626, 564, 980 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 880, 626, 564, 980 i.e 2.


3. How can I use the GCD of 880, 626, 564, 980Calculator?

Out the numbers 880, 626, 564, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.