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, 860, 572, 564 i.e. 4 largest integer that divides all the numbers equally.
GCD of 332, 860, 572, 564 is 4
GCD(332, 860, 572, 564) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 860, 572, 564 is 4
GCD(332, 860, 572, 564) = 4
Given Input numbers are 332, 860, 572, 564
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 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 332, 860, 572, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 860, 572, 564 is 4.
Therefore, GCD of numbers 332, 860, 572, 564 is 4
Given Input Data is 332, 860, 572, 564
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 860 is 2 x 2 x 5 x 43
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 564 is 2 x 2 x 3 x 47
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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, 860) = 71380
GCD(332, 860) = ( 332 x 860 ) / 71380
GCD(332, 860) = 285520 / 71380
GCD(332, 860) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 572) = 572
GCD(4, 572) = ( 4 x 572 ) / 572
GCD(4, 572) = 2288 / 572
GCD(4, 572) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 564) = 564
GCD(4, 564) = ( 4 x 564 ) / 564
GCD(4, 564) = 2256 / 564
GCD(4, 564) = 4
GCD of 332, 860, 572, 564 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 860, 572, 564?
GCD of 332, 860, 572, 564 is 4
2. Where do I get the detailed procedure to find GCD of 332, 860, 572, 564?
You can find a detailed procedure to find GCD of 332, 860, 572, 564 on our page.
3. How to find GCD of 332, 860, 572, 564 on a calculator?
You can find the GCD of 332, 860, 572, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.