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 numbers 77, 121, 236, 713 is 1
GCD(77, 121, 236, 713) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.