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 87, 591, 332, 932 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 591, 332, 932 is 1
GCD(87, 591, 332, 932) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 591, 332, 932 is 1
GCD(87, 591, 332, 932) = 1
Given Input numbers are 87, 591, 332, 932
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Greatest Common Divisior
We found the divisors of 87, 591, 332, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 591, 332, 932 is 1.
Therefore, GCD of numbers 87, 591, 332, 932 is 1
Given Input Data is 87, 591, 332, 932
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 591 is 3 x 197
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 932 is 2 x 2 x 233
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(87, 591) = 17139
GCD(87, 591) = ( 87 x 591 ) / 17139
GCD(87, 591) = 51417 / 17139
GCD(87, 591) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 332) = 996
GCD(3, 332) = ( 3 x 332 ) / 996
GCD(3, 332) = 996 / 996
GCD(3, 332) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
GCD(1, 932) = 932 / 932
GCD(1, 932) = 1
GCD of 87, 591, 332, 932 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 591, 332, 932?
GCD of 87, 591, 332, 932 is 1
2. Where do I get the detailed procedure to find GCD of 87, 591, 332, 932?
You can find a detailed procedure to find GCD of 87, 591, 332, 932 on our page.
3. How to find GCD of 87, 591, 332, 932 on a calculator?
You can find the GCD of 87, 591, 332, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.