GCD of 736, 360, 713 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 736, 360, 713 i.e. 1 largest integer that divides all the numbers equally.

GCD of 736, 360, 713 is 1

GCD(736, 360, 713) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 736, 360, 713 is 1

GCD(736, 360, 713) = 1

GCD of 736,360,713 Calculator

GCDof 736,360,713 is 1

Given Input numbers are 736, 360, 713

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 736, 360, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 360, 713 is 1.

Therefore, GCD of numbers 736, 360, 713 is 1

Finding GCD of 736, 360, 713 using Prime Factorization

Given Input Data is 736, 360, 713

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 713 is 23 x 31

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

Finding GCD of 736, 360, 713 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(736, 360) = 33120

GCD(736, 360) = ( 736 x 360 ) / 33120

GCD(736, 360) = 264960 / 33120

GCD(736, 360) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 713

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

LCM(8, 713) = 5704

GCD(8, 713) = ( 8 x 713 ) / 5704

GCD(8, 713) = 5704 / 5704

GCD(8, 713) = 1

GCD of 736, 360, 713 is 1

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FAQs on GCD of numbers 736, 360, 713

1. What is the GCD of 736, 360, 713?

GCD of 736, 360, 713 is 1

2. Where do I get the detailed procedure to find GCD of 736, 360, 713?

You can find a detailed procedure to find GCD of 736, 360, 713 on our page.

3. How to find GCD of 736, 360, 713 on a calculator?

You can find the GCD of 736, 360, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.