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 875, 975, 351, 915 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 975, 351, 915 is 1
GCD(875, 975, 351, 915) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 975, 351, 915 is 1
GCD(875, 975, 351, 915) = 1
Given Input numbers are 875, 975, 351, 915
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
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
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 875, 975, 351, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 975, 351, 915 is 1.
Therefore, GCD of numbers 875, 975, 351, 915 is 1
Given Input Data is 875, 975, 351, 915
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 915 is 3 x 5 x 61
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(875, 975) = 34125
GCD(875, 975) = ( 875 x 975 ) / 34125
GCD(875, 975) = 853125 / 34125
GCD(875, 975) = 25
Step2:
Here we consider the GCD from the above i.e. 25 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 351) = 8775
GCD(25, 351) = ( 25 x 351 ) / 8775
GCD(25, 351) = 8775 / 8775
GCD(25, 351) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 1
GCD of 875, 975, 351, 915 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 975, 351, 915?
GCD of 875, 975, 351, 915 is 1
2. Where do I get the detailed procedure to find GCD of 875, 975, 351, 915?
You can find a detailed procedure to find GCD of 875, 975, 351, 915 on our page.
3. How to find GCD of 875, 975, 351, 915 on a calculator?
You can find the GCD of 875, 975, 351, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.