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 234, 332, 91, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 332, 91, 959 is 1
GCD(234, 332, 91, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 332, 91, 959 is 1
GCD(234, 332, 91, 959) = 1
Given Input numbers are 234, 332, 91, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 234, 332, 91, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 332, 91, 959 is 1.
Therefore, GCD of numbers 234, 332, 91, 959 is 1
Given Input Data is 234, 332, 91, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 91 is 7 x 13
Prime Factorization of 959 is 7 x 137
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(234, 332) = 38844
GCD(234, 332) = ( 234 x 332 ) / 38844
GCD(234, 332) = 77688 / 38844
GCD(234, 332) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 234, 332, 91, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 332, 91, 959?
GCD of 234, 332, 91, 959 is 1
2. Where do I get the detailed procedure to find GCD of 234, 332, 91, 959?
You can find a detailed procedure to find GCD of 234, 332, 91, 959 on our page.
3. How to find GCD of 234, 332, 91, 959 on a calculator?
You can find the GCD of 234, 332, 91, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.