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 118, 912, 425, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 912, 425, 975 is 1
GCD(118, 912, 425, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 912, 425, 975 is 1
GCD(118, 912, 425, 975) = 1
Given Input numbers are 118, 912, 425, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
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 118, 912, 425, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 912, 425, 975 is 1.
Therefore, GCD of numbers 118, 912, 425, 975 is 1
Given Input Data is 118, 912, 425, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 425 is 5 x 5 x 17
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(118, 912) = 53808
GCD(118, 912) = ( 118 x 912 ) / 53808
GCD(118, 912) = 107616 / 53808
GCD(118, 912) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 425) = 850
GCD(2, 425) = ( 2 x 425 ) / 850
GCD(2, 425) = 850 / 850
GCD(2, 425) = 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 118, 912, 425, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 912, 425, 975?
GCD of 118, 912, 425, 975 is 1
2. Where do I get the detailed procedure to find GCD of 118, 912, 425, 975?
You can find a detailed procedure to find GCD of 118, 912, 425, 975 on our page.
3. How to find GCD of 118, 912, 425, 975 on a calculator?
You can find the GCD of 118, 912, 425, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.