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 952, 353, 31, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 952, 353, 31, 675 is 1
GCD(952, 353, 31, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 353, 31, 675 is 1
GCD(952, 353, 31, 675) = 1
Given Input numbers are 952, 353, 31, 675
To find the GCD of numbers using factoring list out all the divisors of each number
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 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 952, 353, 31, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 353, 31, 675 is 1.
Therefore, GCD of numbers 952, 353, 31, 675 is 1
Given Input Data is 952, 353, 31, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 353 is 353
Prime Factorization of 31 is 31
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(952, 353) = 336056
GCD(952, 353) = ( 952 x 353 ) / 336056
GCD(952, 353) = 336056 / 336056
GCD(952, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 952, 353, 31, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 353, 31, 675?
GCD of 952, 353, 31, 675 is 1
2. Where do I get the detailed procedure to find GCD of 952, 353, 31, 675?
You can find a detailed procedure to find GCD of 952, 353, 31, 675 on our page.
3. How to find GCD of 952, 353, 31, 675 on a calculator?
You can find the GCD of 952, 353, 31, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.