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GCD of 968, 726, 682 Calculator

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


Online GCD Calculator is useful to find the GCD of 968, 726, 682 quickly. Get the easiest ways to solve the greatest common divisor of 968, 726, 682 i.e 22 in different methods as follows.

GCD of

How to Find GCD of Numbers 968, 726, 682 with Factoring?

Given Input numbers are 968, 726, 682

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 682 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (968, 726, 682) = 22.

Find GCD of 968, 726, 682 using Prime Factorization

Given numbers are 968, 726, 682

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 111 x 21

Therefore, GCD of 968, 726, 682 is 22.

Steps to Calculate GCD of 968, 726, 682 using LCM Formula

Given numbers are 968, 726, 682

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

Apply this formula for all numbers.

Step1:

LCM(968, 726) = 2904

GCD(968, 726) = ( 968 x 726 ) / 2904

= 968 / 726

= 968


Step2:

LCM(242, 682) = 7502

GCD(242, 682) = ( 242 x 682 ) / 7502

= 242 / 682

= 242


So, Greatest Common Divisor of 968, 726, 682 is 22

GCD of Numbers Calculation Examples

Greatest Common Divisor of 968, 726, 682

Given numbers are 968, 726, 682
The greatest common divisor of numbers 968, 726, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 726, 682 is 22.

FAQs on GCD of 968, 726, 682 Calculator

1. What is the GCD of 968, 726, 682?

GCD of given numbers 968, 726, 682 is 22


2. How to calculate the greatest common divisor of 968, 726, 682?

We can find the highest common divisor of 968, 726, 682 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 968, 726, 682 i.e 22.


3. How can I use the GCD of 968, 726, 682Calculator?

Out the numbers 968, 726, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.