GCD of 980, 901, 75, 947 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 980, 901, 75, 947 i.e. 1 largest integer that divides all the numbers equally.

GCD of 980, 901, 75, 947 is 1

GCD(980, 901, 75, 947) = 1

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

GCD of

GCD of numbers 980, 901, 75, 947 is 1

GCD(980, 901, 75, 947) = 1

GCD of 980,901,75,947 Calculator

GCDof 980,901,75,947 is 1

Given Input numbers are 980, 901, 75, 947

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

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 980, 901, 75, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 901, 75, 947 is 1.

Therefore, GCD of numbers 980, 901, 75, 947 is 1

Finding GCD of 980, 901, 75, 947 using Prime Factorization

Given Input Data is 980, 901, 75, 947

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 901 is 17 x 53

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 947 is 947

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

Finding GCD of 980, 901, 75, 947 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(980, 901) = 882980

GCD(980, 901) = ( 980 x 901 ) / 882980

GCD(980, 901) = 882980 / 882980

GCD(980, 901) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 980, 901, 75, 947 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 980, 901, 75, 947

1. What is the GCD of 980, 901, 75, 947?

GCD of 980, 901, 75, 947 is 1


2. Where do I get the detailed procedure to find GCD of 980, 901, 75, 947?

You can find a detailed procedure to find GCD of 980, 901, 75, 947 on our page.


3. How to find GCD of 980, 901, 75, 947 on a calculator?

You can find the GCD of 980, 901, 75, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.