GCD of 970, 660, 759, 698 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 970, 660, 759, 698 i.e. 1 largest integer that divides all the numbers equally.

GCD of 970, 660, 759, 698 is 1

GCD(970, 660, 759, 698) = 1

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

GCD of

GCD of numbers 970, 660, 759, 698 is 1

GCD(970, 660, 759, 698) = 1

GCD of 970,660,759,698 Calculator

GCDof 970,660,759,698 is 1

Given Input numbers are 970, 660, 759, 698

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 970, 660, 759, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 660, 759, 698 is 1.

Therefore, GCD of numbers 970, 660, 759, 698 is 1

Finding GCD of 970, 660, 759, 698 using Prime Factorization

Given Input Data is 970, 660, 759, 698

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 698 is 2 x 349

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

Finding GCD of 970, 660, 759, 698 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(970, 660) = 64020

GCD(970, 660) = ( 970 x 660 ) / 64020

GCD(970, 660) = 640200 / 64020

GCD(970, 660) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 759

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

LCM(10, 759) = 7590

GCD(10, 759) = ( 10 x 759 ) / 7590

GCD(10, 759) = 7590 / 7590

GCD(10, 759) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 970, 660, 759, 698 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 970, 660, 759, 698

1. What is the GCD of 970, 660, 759, 698?

GCD of 970, 660, 759, 698 is 1


2. Where do I get the detailed procedure to find GCD of 970, 660, 759, 698?

You can find a detailed procedure to find GCD of 970, 660, 759, 698 on our page.


3. How to find GCD of 970, 660, 759, 698 on a calculator?

You can find the GCD of 970, 660, 759, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.