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GCD of 353, 682, 456, 736 Calculator

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


Online GCD Calculator is useful to find the GCD of 353, 682, 456, 736 quickly. Get the easiest ways to solve the greatest common divisor of 353, 682, 456, 736 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 353, 682, 456, 736 with Factoring?

Given Input numbers are 353, 682, 456, 736

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 682 :

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

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736


GCD of numbers is the greatest common divisor

So, the GCD (353, 682, 456, 736) = 1.

Find GCD of 353, 682, 456, 736 using Prime Factorization

Given numbers are 353, 682, 456, 736

The list of prime factors of all numbers are

Prime factors of 353 are 353

Prime factors of 682 are 2 x 11 x 31

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

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

Steps to Calculate GCD of 353, 682, 456, 736 using LCM Formula

Given numbers are 353, 682, 456, 736

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

Apply this formula for all numbers.

Step1:

LCM(353, 682) = 240746

GCD(353, 682) = ( 353 x 682 ) / 240746

= 353 / 682

= 353


Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1


Step3:

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

= 1 / 736

= 1


So, Greatest Common Divisor of 353, 682, 456, 736 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 353, 682, 456, 736

Given numbers are 353, 682, 456, 736
The greatest common divisor of numbers 353, 682, 456, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 353, 682, 456, 736 is 1.

FAQs on GCD of 353, 682, 456, 736 Calculator

1. What is the GCD of 353, 682, 456, 736?

GCD of given numbers 353, 682, 456, 736 is 1


2. How to calculate the greatest common divisor of 353, 682, 456, 736?

We can find the highest common divisor of 353, 682, 456, 736 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 353, 682, 456, 736 i.e 1.


3. How can I use the GCD of 353, 682, 456, 736Calculator?

Out the numbers 353, 682, 456, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.