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GCD of 656, 832, 723, 356 Calculator

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


Online GCD Calculator is useful to find the GCD of 656, 832, 723, 356 quickly. Get the easiest ways to solve the greatest common divisor of 656, 832, 723, 356 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 656, 832, 723, 356 with Factoring?

Given Input numbers are 656, 832, 723, 356

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356


GCD of numbers is the greatest common divisor

So, the GCD (656, 832, 723, 356) = 1.

Find GCD of 656, 832, 723, 356 using Prime Factorization

Given numbers are 656, 832, 723, 356

The list of prime factors of all numbers are

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 723 are 3 x 241

Prime factors of 356 are 2 x 2 x 89

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 656, 832, 723, 356 using LCM Formula

Given numbers are 656, 832, 723, 356

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

Apply this formula for all numbers.

Step1:

LCM(656, 832) = 34112

GCD(656, 832) = ( 656 x 832 ) / 34112

= 656 / 832

= 656


Step2:

LCM(16, 723) = 11568

GCD(16, 723) = ( 16 x 723 ) / 11568

= 16 / 723

= 16


Step3:

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

= 1 / 356

= 1


So, Greatest Common Divisor of 656, 832, 723, 356 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 656, 832, 723, 356

Given numbers are 656, 832, 723, 356
The greatest common divisor of numbers 656, 832, 723, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 832, 723, 356 is 1.

FAQs on GCD of 656, 832, 723, 356 Calculator

1. What is the GCD of 656, 832, 723, 356?

GCD of given numbers 656, 832, 723, 356 is 1


2. How to calculate the greatest common divisor of 656, 832, 723, 356?

We can find the highest common divisor of 656, 832, 723, 356 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 656, 832, 723, 356 i.e 1.


3. How can I use the GCD of 656, 832, 723, 356Calculator?

Out the numbers 656, 832, 723, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.