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GCD of 686, 620, 556, 212 Calculator

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


Online GCD Calculator is useful to find the GCD of 686, 620, 556, 212 quickly. Get the easiest ways to solve the greatest common divisor of 686, 620, 556, 212 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 686, 620, 556, 212 with Factoring?

Given Input numbers are 686, 620, 556, 212

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212


GCD of numbers is the greatest common divisor

So, the GCD (686, 620, 556, 212) = 2.

Find GCD of 686, 620, 556, 212 using Prime Factorization

Given numbers are 686, 620, 556, 212

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 556 are 2 x 2 x 139

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 21

Therefore, GCD of 686, 620, 556, 212 is 2.

Steps to Calculate GCD of 686, 620, 556, 212 using LCM Formula

Given numbers are 686, 620, 556, 212

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

Apply this formula for all numbers.

Step1:

LCM(686, 620) = 212660

GCD(686, 620) = ( 686 x 620 ) / 212660

= 686 / 620

= 686


Step2:

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

= 2 / 556

= 2


Step3:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2


So, Greatest Common Divisor of 686, 620, 556, 212 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 686, 620, 556, 212

Given numbers are 686, 620, 556, 212
The greatest common divisor of numbers 686, 620, 556, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 620, 556, 212 is 2.

FAQs on GCD of 686, 620, 556, 212 Calculator

1. What is the GCD of 686, 620, 556, 212?

GCD of given numbers 686, 620, 556, 212 is 2


2. How to calculate the greatest common divisor of 686, 620, 556, 212?

We can find the highest common divisor of 686, 620, 556, 212 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 686, 620, 556, 212 i.e 2.


3. How can I use the GCD of 686, 620, 556, 212Calculator?

Out the numbers 686, 620, 556, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.