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 524, 361, 76, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 361, 76, 935 is 1
GCD(524, 361, 76, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 361, 76, 935 is 1
GCD(524, 361, 76, 935) = 1
Given Input numbers are 524, 361, 76, 935
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 524, 361, 76, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 361, 76, 935 is 1.
Therefore, GCD of numbers 524, 361, 76, 935 is 1
Given Input Data is 524, 361, 76, 935
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 361 is 19 x 19
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 935 is 5 x 11 x 17
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(524, 361) = 189164
GCD(524, 361) = ( 524 x 361 ) / 189164
GCD(524, 361) = 189164 / 189164
GCD(524, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 935) = 935
GCD(1, 935) = ( 1 x 935 ) / 935
GCD(1, 935) = 935 / 935
GCD(1, 935) = 1
GCD of 524, 361, 76, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 361, 76, 935?
GCD of 524, 361, 76, 935 is 1
2. Where do I get the detailed procedure to find GCD of 524, 361, 76, 935?
You can find a detailed procedure to find GCD of 524, 361, 76, 935 on our page.
3. How to find GCD of 524, 361, 76, 935 on a calculator?
You can find the GCD of 524, 361, 76, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.