GCD of 77, 121, 236, 713 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, 121, 236, 713 i.e. 1 largest integer that divides all the numbers equally.

GCD of 77, 121, 236, 713 is 1

GCD(77, 121, 236, 713) = 1

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

GCD of

GCD of numbers 77, 121, 236, 713 is 1

GCD(77, 121, 236, 713) = 1

GCD of 77,121,236,713 Calculator

GCDof 77,121,236,713 is 1

Given Input numbers are 77, 121, 236, 713

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 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 77, 121, 236, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 121, 236, 713 is 1.

Therefore, GCD of numbers 77, 121, 236, 713 is 1

Finding GCD of 77, 121, 236, 713 using Prime Factorization

Given Input Data is 77, 121, 236, 713

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 121 is 11 x 11

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 713 is 23 x 31

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

Finding GCD of 77, 121, 236, 713 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, 121) = 847

GCD(77, 121) = ( 77 x 121 ) / 847

GCD(77, 121) = 9317 / 847

GCD(77, 121) = 11


Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 236

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

LCM(11, 236) = 2596

GCD(11, 236) = ( 11 x 236 ) / 2596

GCD(11, 236) = 2596 / 2596

GCD(11, 236) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 77, 121, 236, 713 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 77, 121, 236, 713

1. What is the GCD of 77, 121, 236, 713?

GCD of 77, 121, 236, 713 is 1


2. Where do I get the detailed procedure to find GCD of 77, 121, 236, 713?

You can find a detailed procedure to find GCD of 77, 121, 236, 713 on our page.


3. How to find GCD of 77, 121, 236, 713 on a calculator?

You can find the GCD of 77, 121, 236, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.