GCD of 759, 723, 61 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 759, 723, 61 i.e. 1 largest integer that divides all the numbers equally.

GCD of 759, 723, 61 is 1

GCD(759, 723, 61) = 1

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

GCD of

GCD of numbers 759, 723, 61 is 1

GCD(759, 723, 61) = 1

GCD of 759,723,61 Calculator

GCDof 759,723,61 is 1

Given Input numbers are 759, 723, 61

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Greatest Common Divisior

We found the divisors of 759, 723, 61 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 723, 61 is 1.

Therefore, GCD of numbers 759, 723, 61 is 1

Finding GCD of 759, 723, 61 using Prime Factorization

Given Input Data is 759, 723, 61

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 723 is 3 x 241

Prime Factorization of 61 is 61

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

Finding GCD of 759, 723, 61 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(759, 723) = 182919

GCD(759, 723) = ( 759 x 723 ) / 182919

GCD(759, 723) = 548757 / 182919

GCD(759, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 1

GCD of 759, 723, 61 is 1

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FAQs on GCD of numbers 759, 723, 61

1. What is the GCD of 759, 723, 61?

GCD of 759, 723, 61 is 1

2. Where do I get the detailed procedure to find GCD of 759, 723, 61?

You can find a detailed procedure to find GCD of 759, 723, 61 on our page.

3. How to find GCD of 759, 723, 61 on a calculator?

You can find the GCD of 759, 723, 61 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.