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, 507, 96, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 507, 96, 187 is 1
GCD(118, 507, 96, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 507, 96, 187 is 1
GCD(118, 507, 96, 187) = 1
Given Input numbers are 118, 507, 96, 187
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 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 118, 507, 96, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 507, 96, 187 is 1.
Therefore, GCD of numbers 118, 507, 96, 187 is 1
Given Input Data is 118, 507, 96, 187
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 187 is 11 x 17
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, 507) = 59826
GCD(118, 507) = ( 118 x 507 ) / 59826
GCD(118, 507) = 59826 / 59826
GCD(118, 507) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
GCD(1, 187) = 187 / 187
GCD(1, 187) = 1
GCD of 118, 507, 96, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 507, 96, 187?
GCD of 118, 507, 96, 187 is 1
2. Where do I get the detailed procedure to find GCD of 118, 507, 96, 187?
You can find a detailed procedure to find GCD of 118, 507, 96, 187 on our page.
3. How to find GCD of 118, 507, 96, 187 on a calculator?
You can find the GCD of 118, 507, 96, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.