GCD of 759, 739, 712, 989 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, 739, 712, 989 i.e. 1 largest integer that divides all the numbers equally.

GCD of 759, 739, 712, 989 is 1

GCD(759, 739, 712, 989) = 1

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

GCD of

GCD of numbers 759, 739, 712, 989 is 1

GCD(759, 739, 712, 989) = 1

GCD of 759,739,712,989 Calculator

GCDof 759,739,712,989 is 1

Given Input numbers are 759, 739, 712, 989

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 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 759, 739, 712, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 739, 712, 989 is 1.

Therefore, GCD of numbers 759, 739, 712, 989 is 1

Finding GCD of 759, 739, 712, 989 using Prime Factorization

Given Input Data is 759, 739, 712, 989

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 739 is 739

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 989 is 23 x 43

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

Finding GCD of 759, 739, 712, 989 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, 739) = 560901

GCD(759, 739) = ( 759 x 739 ) / 560901

GCD(759, 739) = 560901 / 560901

GCD(759, 739) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 759, 739, 712, 989 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 759, 739, 712, 989

1. What is the GCD of 759, 739, 712, 989?

GCD of 759, 739, 712, 989 is 1


2. Where do I get the detailed procedure to find GCD of 759, 739, 712, 989?

You can find a detailed procedure to find GCD of 759, 739, 712, 989 on our page.


3. How to find GCD of 759, 739, 712, 989 on a calculator?

You can find the GCD of 759, 739, 712, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.