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GCD of 686, 626, 268, 552 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, 626, 268, 552 quickly. Get the easiest ways to solve the greatest common divisor of 686, 626, 268, 552 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 686, 626, 268, 552 with Factoring?

Given Input numbers are 686, 626, 268, 552

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 626 :

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

1, 2, 313, 626

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552


GCD of numbers is the greatest common divisor

So, the GCD (686, 626, 268, 552) = 2.

Find GCD of 686, 626, 268, 552 using Prime Factorization

Given numbers are 686, 626, 268, 552

The list of prime factors of all numbers are

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

Prime factors of 626 are 2 x 313

Prime factors of 268 are 2 x 2 x 67

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 21

Therefore, GCD of 686, 626, 268, 552 is 2.

Steps to Calculate GCD of 686, 626, 268, 552 using LCM Formula

Given numbers are 686, 626, 268, 552

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

Apply this formula for all numbers.

Step1:

LCM(686, 626) = 214718

GCD(686, 626) = ( 686 x 626 ) / 214718

= 686 / 626

= 686


Step2:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2


Step3:

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

= 2 / 552

= 2


So, Greatest Common Divisor of 686, 626, 268, 552 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 686, 626, 268, 552

Given numbers are 686, 626, 268, 552
The greatest common divisor of numbers 686, 626, 268, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 626, 268, 552 is 2.

FAQs on GCD of 686, 626, 268, 552 Calculator

1. What is the GCD of 686, 626, 268, 552?

GCD of given numbers 686, 626, 268, 552 is 2


2. How to calculate the greatest common divisor of 686, 626, 268, 552?

We can find the highest common divisor of 686, 626, 268, 552 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, 626, 268, 552 i.e 2.


3. How can I use the GCD of 686, 626, 268, 552Calculator?

Out the numbers 686, 626, 268, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.