GCD of 980, 404, 964, 201 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, 404, 964, 201 i.e. 1 largest integer that divides all the numbers equally.

GCD of 980, 404, 964, 201 is 1

GCD(980, 404, 964, 201) = 1

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

GCD of

GCD of numbers 980, 404, 964, 201 is 1

GCD(980, 404, 964, 201) = 1

GCD of 980,404,964,201 Calculator

GCDof 980,404,964,201 is 1

Given Input numbers are 980, 404, 964, 201

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 980, 404, 964, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 404, 964, 201 is 1.

Therefore, GCD of numbers 980, 404, 964, 201 is 1

Finding GCD of 980, 404, 964, 201 using Prime Factorization

Given Input Data is 980, 404, 964, 201

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 404 is 2 x 2 x 101

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 201 is 3 x 67

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

Finding GCD of 980, 404, 964, 201 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, 404) = 98980

GCD(980, 404) = ( 980 x 404 ) / 98980

GCD(980, 404) = 395920 / 98980

GCD(980, 404) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 964

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

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

GCD(4, 964) = 3856 / 964

GCD(4, 964) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 201

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

LCM(4, 201) = 804

GCD(4, 201) = ( 4 x 201 ) / 804

GCD(4, 201) = 804 / 804

GCD(4, 201) = 1

GCD of 980, 404, 964, 201 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 980, 404, 964, 201

1. What is the GCD of 980, 404, 964, 201?

GCD of 980, 404, 964, 201 is 1


2. Where do I get the detailed procedure to find GCD of 980, 404, 964, 201?

You can find a detailed procedure to find GCD of 980, 404, 964, 201 on our page.


3. How to find GCD of 980, 404, 964, 201 on a calculator?

You can find the GCD of 980, 404, 964, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.