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, 901, 25, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 952, 901, 25, 185 is 1
GCD(952, 901, 25, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 901, 25, 185 is 1
GCD(952, 901, 25, 185) = 1
Given Input numbers are 952, 901, 25, 185
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 952, 901, 25, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 901, 25, 185 is 1.
Therefore, GCD of numbers 952, 901, 25, 185 is 1
Given Input Data is 952, 901, 25, 185
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 901 is 17 x 53
Prime Factorization of 25 is 5 x 5
Prime Factorization of 185 is 5 x 37
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, 901) = 50456
GCD(952, 901) = ( 952 x 901 ) / 50456
GCD(952, 901) = 857752 / 50456
GCD(952, 901) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 25) = 425
GCD(17, 25) = ( 17 x 25 ) / 425
GCD(17, 25) = 425 / 425
GCD(17, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 185) = 185
GCD(1, 185) = ( 1 x 185 ) / 185
GCD(1, 185) = 185 / 185
GCD(1, 185) = 1
GCD of 952, 901, 25, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 901, 25, 185?
GCD of 952, 901, 25, 185 is 1
2. Where do I get the detailed procedure to find GCD of 952, 901, 25, 185?
You can find a detailed procedure to find GCD of 952, 901, 25, 185 on our page.
3. How to find GCD of 952, 901, 25, 185 on a calculator?
You can find the GCD of 952, 901, 25, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.