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 75, 138, 187, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 138, 187, 913 is 1
GCD(75, 138, 187, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 138, 187, 913 is 1
GCD(75, 138, 187, 913) = 1
Given Input numbers are 75, 138, 187, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 75, 138, 187, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 138, 187, 913 is 1.
Therefore, GCD of numbers 75, 138, 187, 913 is 1
Given Input Data is 75, 138, 187, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 187 is 11 x 17
Prime Factorization of 913 is 11 x 83
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(75, 138) = 3450
GCD(75, 138) = ( 75 x 138 ) / 3450
GCD(75, 138) = 10350 / 3450
GCD(75, 138) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 187) = 561
GCD(3, 187) = ( 3 x 187 ) / 561
GCD(3, 187) = 561 / 561
GCD(3, 187) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 75, 138, 187, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 138, 187, 913?
GCD of 75, 138, 187, 913 is 1
2. Where do I get the detailed procedure to find GCD of 75, 138, 187, 913?
You can find a detailed procedure to find GCD of 75, 138, 187, 913 on our page.
3. How to find GCD of 75, 138, 187, 913 on a calculator?
You can find the GCD of 75, 138, 187, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.