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GCD of 880, 204, 220, 676 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, 204, 220, 676 quickly. Get the easiest ways to solve the greatest common divisor of 880, 204, 220, 676 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 880, 204, 220, 676 with Factoring?

Given Input numbers are 880, 204, 220, 676

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676


GCD of numbers is the greatest common divisor

So, the GCD (880, 204, 220, 676) = 4.

Find GCD of 880, 204, 220, 676 using Prime Factorization

Given numbers are 880, 204, 220, 676

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 204 are 2 x 2 x 3 x 17

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 22

Therefore, GCD of 880, 204, 220, 676 is 4.

Steps to Calculate GCD of 880, 204, 220, 676 using LCM Formula

Given numbers are 880, 204, 220, 676

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

Apply this formula for all numbers.

Step1:

LCM(880, 204) = 44880

GCD(880, 204) = ( 880 x 204 ) / 44880

= 880 / 204

= 880


Step2:

LCM(4, 220) = 220

GCD(4, 220) = ( 4 x 220 ) / 220

= 4 / 220

= 4


Step3:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4


So, Greatest Common Divisor of 880, 204, 220, 676 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 880, 204, 220, 676

Given numbers are 880, 204, 220, 676
The greatest common divisor of numbers 880, 204, 220, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 204, 220, 676 is 4.

FAQs on GCD of 880, 204, 220, 676 Calculator

1. What is the GCD of 880, 204, 220, 676?

GCD of given numbers 880, 204, 220, 676 is 4


2. How to calculate the greatest common divisor of 880, 204, 220, 676?

We can find the highest common divisor of 880, 204, 220, 676 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, 204, 220, 676 i.e 4.


3. How can I use the GCD of 880, 204, 220, 676Calculator?

Out the numbers 880, 204, 220, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.