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 928, 828, 952, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 828, 952, 369 is 1
GCD(928, 828, 952, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 828, 952, 369 is 1
GCD(928, 828, 952, 369) = 1
Given Input numbers are 928, 828, 952, 369
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 928, 828, 952, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 828, 952, 369 is 1.
Therefore, GCD of numbers 928, 828, 952, 369 is 1
Given Input Data is 928, 828, 952, 369
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 369 is 3 x 3 x 41
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(928, 828) = 192096
GCD(928, 828) = ( 928 x 828 ) / 192096
GCD(928, 828) = 768384 / 192096
GCD(928, 828) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 952) = 952
GCD(4, 952) = ( 4 x 952 ) / 952
GCD(4, 952) = 3808 / 952
GCD(4, 952) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 369) = 1476
GCD(4, 369) = ( 4 x 369 ) / 1476
GCD(4, 369) = 1476 / 1476
GCD(4, 369) = 1
GCD of 928, 828, 952, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 828, 952, 369?
GCD of 928, 828, 952, 369 is 1
2. Where do I get the detailed procedure to find GCD of 928, 828, 952, 369?
You can find a detailed procedure to find GCD of 928, 828, 952, 369 on our page.
3. How to find GCD of 928, 828, 952, 369 on a calculator?
You can find the GCD of 928, 828, 952, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.