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GCD of 682, 938, 718, 658 Calculator

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


Online GCD Calculator is useful to find the GCD of 682, 938, 718, 658 quickly. Get the easiest ways to solve the greatest common divisor of 682, 938, 718, 658 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 682, 938, 718, 658 with Factoring?

Given Input numbers are 682, 938, 718, 658

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658


GCD of numbers is the greatest common divisor

So, the GCD (682, 938, 718, 658) = 2.

Find GCD of 682, 938, 718, 658 using Prime Factorization

Given numbers are 682, 938, 718, 658

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 938 are 2 x 7 x 67

Prime factors of 718 are 2 x 359

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 21

Therefore, GCD of 682, 938, 718, 658 is 2.

Steps to Calculate GCD of 682, 938, 718, 658 using LCM Formula

Given numbers are 682, 938, 718, 658

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

Apply this formula for all numbers.

Step1:

LCM(682, 938) = 319858

GCD(682, 938) = ( 682 x 938 ) / 319858

= 682 / 938

= 682


Step2:

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

= 2 / 718

= 2


Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2


So, Greatest Common Divisor of 682, 938, 718, 658 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 682, 938, 718, 658

Given numbers are 682, 938, 718, 658
The greatest common divisor of numbers 682, 938, 718, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 938, 718, 658 is 2.

FAQs on GCD of 682, 938, 718, 658 Calculator

1. What is the GCD of 682, 938, 718, 658?

GCD of given numbers 682, 938, 718, 658 is 2


2. How to calculate the greatest common divisor of 682, 938, 718, 658?

We can find the highest common divisor of 682, 938, 718, 658 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 682, 938, 718, 658 i.e 2.


3. How can I use the GCD of 682, 938, 718, 658Calculator?

Out the numbers 682, 938, 718, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.