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 235, 126, 61, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 235, 126, 61, 188 is 1
GCD(235, 126, 61, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 235, 126, 61, 188 is 1
GCD(235, 126, 61, 188) = 1
Given Input numbers are 235, 126, 61, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 235, 126, 61, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 126, 61, 188 is 1.
Therefore, GCD of numbers 235, 126, 61, 188 is 1
Given Input Data is 235, 126, 61, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 235 is 5 x 47
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 61 is 61
Prime Factorization of 188 is 2 x 2 x 47
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(235, 126) = 29610
GCD(235, 126) = ( 235 x 126 ) / 29610
GCD(235, 126) = 29610 / 29610
GCD(235, 126) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 235, 126, 61, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 235, 126, 61, 188?
GCD of 235, 126, 61, 188 is 1
2. Where do I get the detailed procedure to find GCD of 235, 126, 61, 188?
You can find a detailed procedure to find GCD of 235, 126, 61, 188 on our page.
3. How to find GCD of 235, 126, 61, 188 on a calculator?
You can find the GCD of 235, 126, 61, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.