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 50, 121, 710, 766 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 121, 710, 766 is 1
GCD(50, 121, 710, 766) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 121, 710, 766 is 1
GCD(50, 121, 710, 766) = 1
Given Input numbers are 50, 121, 710, 766
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Greatest Common Divisior
We found the divisors of 50, 121, 710, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 121, 710, 766 is 1.
Therefore, GCD of numbers 50, 121, 710, 766 is 1
Given Input Data is 50, 121, 710, 766
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 121 is 11 x 11
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 766 is 2 x 383
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(50, 121) = 6050
GCD(50, 121) = ( 50 x 121 ) / 6050
GCD(50, 121) = 6050 / 6050
GCD(50, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 766) = 766
GCD(1, 766) = ( 1 x 766 ) / 766
GCD(1, 766) = 766 / 766
GCD(1, 766) = 1
GCD of 50, 121, 710, 766 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 121, 710, 766?
GCD of 50, 121, 710, 766 is 1
2. Where do I get the detailed procedure to find GCD of 50, 121, 710, 766?
You can find a detailed procedure to find GCD of 50, 121, 710, 766 on our page.
3. How to find GCD of 50, 121, 710, 766 on a calculator?
You can find the GCD of 50, 121, 710, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.