GCD of 759, 980, 862, 966 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, 980, 862, 966 i.e. 1 largest integer that divides all the numbers equally.

GCD of 759, 980, 862, 966 is 1

GCD(759, 980, 862, 966) = 1

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

GCD of

GCD of numbers 759, 980, 862, 966 is 1

GCD(759, 980, 862, 966) = 1

GCD of 759,980,862,966 Calculator

GCDof 759,980,862,966 is 1

Given Input numbers are 759, 980, 862, 966

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 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 759, 980, 862, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 980, 862, 966 is 1.

Therefore, GCD of numbers 759, 980, 862, 966 is 1

Finding GCD of 759, 980, 862, 966 using Prime Factorization

Given Input Data is 759, 980, 862, 966

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 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 862 is 2 x 431

Prime Factorization of 966 is 2 x 3 x 7 x 23

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

Finding GCD of 759, 980, 862, 966 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, 980) = 743820

GCD(759, 980) = ( 759 x 980 ) / 743820

GCD(759, 980) = 743820 / 743820

GCD(759, 980) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 759, 980, 862, 966 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 759, 980, 862, 966

1. What is the GCD of 759, 980, 862, 966?

GCD of 759, 980, 862, 966 is 1


2. Where do I get the detailed procedure to find GCD of 759, 980, 862, 966?

You can find a detailed procedure to find GCD of 759, 980, 862, 966 on our page.


3. How to find GCD of 759, 980, 862, 966 on a calculator?

You can find the GCD of 759, 980, 862, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.