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, 955, 746, 915 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 955, 746, 915 is 1
GCD(764, 955, 746, 915) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 955, 746, 915 is 1
GCD(764, 955, 746, 915) = 1
Given Input numbers are 764, 955, 746, 915
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 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 764, 955, 746, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 955, 746, 915 is 1.
Therefore, GCD of numbers 764, 955, 746, 915 is 1
Given Input Data is 764, 955, 746, 915
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 955 is 5 x 191
Prime Factorization of 746 is 2 x 373
Prime Factorization of 915 is 3 x 5 x 61
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, 955) = 3820
GCD(764, 955) = ( 764 x 955 ) / 3820
GCD(764, 955) = 729620 / 3820
GCD(764, 955) = 191
Step2:
Here we consider the GCD from the above i.e. 191 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(191, 746) = 142486
GCD(191, 746) = ( 191 x 746 ) / 142486
GCD(191, 746) = 142486 / 142486
GCD(191, 746) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 1
GCD of 764, 955, 746, 915 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 955, 746, 915?
GCD of 764, 955, 746, 915 is 1
2. Where do I get the detailed procedure to find GCD of 764, 955, 746, 915?
You can find a detailed procedure to find GCD of 764, 955, 746, 915 on our page.
3. How to find GCD of 764, 955, 746, 915 on a calculator?
You can find the GCD of 764, 955, 746, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.