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GCD of 726, 160, 212, 968 Calculator

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


Online GCD Calculator is useful to find the GCD of 726, 160, 212, 968 quickly. Get the easiest ways to solve the greatest common divisor of 726, 160, 212, 968 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 726, 160, 212, 968 with Factoring?

Given Input numbers are 726, 160, 212, 968

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

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 212 :

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

1, 2, 4, 53, 106, 212

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


GCD of numbers is the greatest common divisor

So, the GCD (726, 160, 212, 968) = 2.

Find GCD of 726, 160, 212, 968 using Prime Factorization

Given numbers are 726, 160, 212, 968

The list of prime factors of all numbers are

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 212 are 2 x 2 x 53

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

The highest common occurrence is 21

Therefore, GCD of 726, 160, 212, 968 is 2.

Steps to Calculate GCD of 726, 160, 212, 968 using LCM Formula

Given numbers are 726, 160, 212, 968

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

Apply this formula for all numbers.

Step1:

LCM(726, 160) = 58080

GCD(726, 160) = ( 726 x 160 ) / 58080

= 726 / 160

= 726


Step2:

LCM(2, 212) = 212

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

= 2 / 212

= 2


Step3:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2


So, Greatest Common Divisor of 726, 160, 212, 968 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 726, 160, 212, 968

Given numbers are 726, 160, 212, 968
The greatest common divisor of numbers 726, 160, 212, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 160, 212, 968 is 2.

FAQs on GCD of 726, 160, 212, 968 Calculator

1. What is the GCD of 726, 160, 212, 968?

GCD of given numbers 726, 160, 212, 968 is 2


2. How to calculate the greatest common divisor of 726, 160, 212, 968?

We can find the highest common divisor of 726, 160, 212, 968 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 726, 160, 212, 968 i.e 2.


3. How can I use the GCD of 726, 160, 212, 968Calculator?

Out the numbers 726, 160, 212, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.