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, 185, 70, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 185, 70, 938 is 1
GCD(875, 185, 70, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 185, 70, 938 is 1
GCD(875, 185, 70, 938) = 1
Given Input numbers are 875, 185, 70, 938
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 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 875, 185, 70, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 185, 70, 938 is 1.
Therefore, GCD of numbers 875, 185, 70, 938 is 1
Given Input Data is 875, 185, 70, 938
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 185 is 5 x 37
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 938 is 2 x 7 x 67
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, 185) = 32375
GCD(875, 185) = ( 875 x 185 ) / 32375
GCD(875, 185) = 161875 / 32375
GCD(875, 185) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 70) = 70
GCD(5, 70) = ( 5 x 70 ) / 70
GCD(5, 70) = 350 / 70
GCD(5, 70) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 938) = 4690
GCD(5, 938) = ( 5 x 938 ) / 4690
GCD(5, 938) = 4690 / 4690
GCD(5, 938) = 1
GCD of 875, 185, 70, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 185, 70, 938?
GCD of 875, 185, 70, 938 is 1
2. Where do I get the detailed procedure to find GCD of 875, 185, 70, 938?
You can find a detailed procedure to find GCD of 875, 185, 70, 938 on our page.
3. How to find GCD of 875, 185, 70, 938 on a calculator?
You can find the GCD of 875, 185, 70, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.