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, 952, 36, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 952, 36, 741 is 1
GCD(764, 952, 36, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 952, 36, 741 is 1
GCD(764, 952, 36, 741) = 1
Given Input numbers are 764, 952, 36, 741
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 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 764, 952, 36, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 952, 36, 741 is 1.
Therefore, GCD of numbers 764, 952, 36, 741 is 1
Given Input Data is 764, 952, 36, 741
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 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 741 is 3 x 13 x 19
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, 952) = 181832
GCD(764, 952) = ( 764 x 952 ) / 181832
GCD(764, 952) = 727328 / 181832
GCD(764, 952) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 36) = 36
GCD(4, 36) = ( 4 x 36 ) / 36
GCD(4, 36) = 144 / 36
GCD(4, 36) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 741) = 2964
GCD(4, 741) = ( 4 x 741 ) / 2964
GCD(4, 741) = 2964 / 2964
GCD(4, 741) = 1
GCD of 764, 952, 36, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 952, 36, 741?
GCD of 764, 952, 36, 741 is 1
2. Where do I get the detailed procedure to find GCD of 764, 952, 36, 741?
You can find a detailed procedure to find GCD of 764, 952, 36, 741 on our page.
3. How to find GCD of 764, 952, 36, 741 on a calculator?
You can find the GCD of 764, 952, 36, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.