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 332, 782, 932, 764 i.e. 2 largest integer that divides all the numbers equally.
GCD of 332, 782, 932, 764 is 2
GCD(332, 782, 932, 764) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 782, 932, 764 is 2
GCD(332, 782, 932, 764) = 2
Given Input numbers are 332, 782, 932, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 332, 782, 932, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 782, 932, 764 is 2.
Therefore, GCD of numbers 332, 782, 932, 764 is 2
Given Input Data is 332, 782, 932, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 764 is 2 x 2 x 191
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(332, 782) = 129812
GCD(332, 782) = ( 332 x 782 ) / 129812
GCD(332, 782) = 259624 / 129812
GCD(332, 782) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 932) = 932
GCD(2, 932) = ( 2 x 932 ) / 932
GCD(2, 932) = 1864 / 932
GCD(2, 932) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
GCD(2, 764) = 1528 / 764
GCD(2, 764) = 2
GCD of 332, 782, 932, 764 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 782, 932, 764?
GCD of 332, 782, 932, 764 is 2
2. Where do I get the detailed procedure to find GCD of 332, 782, 932, 764?
You can find a detailed procedure to find GCD of 332, 782, 932, 764 on our page.
3. How to find GCD of 332, 782, 932, 764 on a calculator?
You can find the GCD of 332, 782, 932, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.