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 764, 789, 101, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 789, 101, 938 is 1
GCD(764, 789, 101, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 789, 101, 938 is 1
GCD(764, 789, 101, 938) = 1
Given Input numbers are 764, 789, 101, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 764, 789, 101, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 789, 101, 938 is 1.
Therefore, GCD of numbers 764, 789, 101, 938 is 1
Given Input Data is 764, 789, 101, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 789 is 3 x 263
Prime Factorization of 101 is 101
Prime Factorization of 938 is 2 x 7 x 67
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(764, 789) = 602796
GCD(764, 789) = ( 764 x 789 ) / 602796
GCD(764, 789) = 602796 / 602796
GCD(764, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 764, 789, 101, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 789, 101, 938?
GCD of 764, 789, 101, 938 is 1
2. Where do I get the detailed procedure to find GCD of 764, 789, 101, 938?
You can find a detailed procedure to find GCD of 764, 789, 101, 938 on our page.
3. How to find GCD of 764, 789, 101, 938 on a calculator?
You can find the GCD of 764, 789, 101, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.