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GCD of 356, 686, 146, 723 Calculator

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


Online GCD Calculator is useful to find the GCD of 356, 686, 146, 723 quickly. Get the easiest ways to solve the greatest common divisor of 356, 686, 146, 723 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 356, 686, 146, 723 with Factoring?

Given Input numbers are 356, 686, 146, 723

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

Divisors of 356 :

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

1, 2, 4, 89, 178, 356

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 723 :

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

1, 3, 241, 723


GCD of numbers is the greatest common divisor

So, the GCD (356, 686, 146, 723) = 1.

Find GCD of 356, 686, 146, 723 using Prime Factorization

Given numbers are 356, 686, 146, 723

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

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

Prime factors of 146 are 2 x 73

Prime factors of 723 are 3 x 241

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

Steps to Calculate GCD of 356, 686, 146, 723 using LCM Formula

Given numbers are 356, 686, 146, 723

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

Apply this formula for all numbers.

Step1:

LCM(356, 686) = 122108

GCD(356, 686) = ( 356 x 686 ) / 122108

= 356 / 686

= 356


Step2:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2


Step3:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2


So, Greatest Common Divisor of 356, 686, 146, 723 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 356, 686, 146, 723

Given numbers are 356, 686, 146, 723
The greatest common divisor of numbers 356, 686, 146, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 686, 146, 723 is 1.

FAQs on GCD of 356, 686, 146, 723 Calculator

1. What is the GCD of 356, 686, 146, 723?

GCD of given numbers 356, 686, 146, 723 is 1


2. How to calculate the greatest common divisor of 356, 686, 146, 723?

We can find the highest common divisor of 356, 686, 146, 723 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 356, 686, 146, 723 i.e 1.


3. How can I use the GCD of 356, 686, 146, 723Calculator?

Out the numbers 356, 686, 146, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.