GCD of 77, 401, 959, 220 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 77, 401, 959, 220 i.e. 1 largest integer that divides all the numbers equally.

GCD of 77, 401, 959, 220 is 1

GCD(77, 401, 959, 220) = 1

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

GCD of

GCD of numbers 77, 401, 959, 220 is 1

GCD(77, 401, 959, 220) = 1

GCD of 77,401,959,220 Calculator

GCDof 77,401,959,220 is 1

Given Input numbers are 77, 401, 959, 220

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 77, 401, 959, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 401, 959, 220 is 1.

Therefore, GCD of numbers 77, 401, 959, 220 is 1

Finding GCD of 77, 401, 959, 220 using Prime Factorization

Given Input Data is 77, 401, 959, 220

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 401 is 401

Prime Factorization of 959 is 7 x 137

Prime Factorization of 220 is 2 x 2 x 5 x 11

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

Finding GCD of 77, 401, 959, 220 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(77, 401) = 30877

GCD(77, 401) = ( 77 x 401 ) / 30877

GCD(77, 401) = 30877 / 30877

GCD(77, 401) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 77, 401, 959, 220 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 77, 401, 959, 220

1. What is the GCD of 77, 401, 959, 220?

GCD of 77, 401, 959, 220 is 1


2. Where do I get the detailed procedure to find GCD of 77, 401, 959, 220?

You can find a detailed procedure to find GCD of 77, 401, 959, 220 on our page.


3. How to find GCD of 77, 401, 959, 220 on a calculator?

You can find the GCD of 77, 401, 959, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.