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 792, 370, 959, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 792, 370, 959, 975 is 1
GCD(792, 370, 959, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 792, 370, 959, 975 is 1
GCD(792, 370, 959, 975) = 1
Given Input numbers are 792, 370, 959, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Greatest Common Divisior
We found the divisors of 792, 370, 959, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 370, 959, 975 is 1.
Therefore, GCD of numbers 792, 370, 959, 975 is 1
Given Input Data is 792, 370, 959, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 959 is 7 x 137
Prime Factorization of 975 is 3 x 5 x 5 x 13
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(792, 370) = 146520
GCD(792, 370) = ( 792 x 370 ) / 146520
GCD(792, 370) = 293040 / 146520
GCD(792, 370) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 959) = 1918
GCD(2, 959) = ( 2 x 959 ) / 1918
GCD(2, 959) = 1918 / 1918
GCD(2, 959) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 792, 370, 959, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 792, 370, 959, 975?
GCD of 792, 370, 959, 975 is 1
2. Where do I get the detailed procedure to find GCD of 792, 370, 959, 975?
You can find a detailed procedure to find GCD of 792, 370, 959, 975 on our page.
3. How to find GCD of 792, 370, 959, 975 on a calculator?
You can find the GCD of 792, 370, 959, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.