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 572, 540, 32, 562 i.e. 2 largest integer that divides all the numbers equally.
GCD of 572, 540, 32, 562 is 2
GCD(572, 540, 32, 562) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 540, 32, 562 is 2
GCD(572, 540, 32, 562) = 2
Given Input numbers are 572, 540, 32, 562
To find the GCD of numbers using factoring list out all the divisors of each number
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 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Greatest Common Divisior
We found the divisors of 572, 540, 32, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 540, 32, 562 is 2.
Therefore, GCD of numbers 572, 540, 32, 562 is 2
Given Input Data is 572, 540, 32, 562
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 562 is 2 x 281
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(572, 540) = 77220
GCD(572, 540) = ( 572 x 540 ) / 77220
GCD(572, 540) = 308880 / 77220
GCD(572, 540) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 32) = 32
GCD(4, 32) = ( 4 x 32 ) / 32
GCD(4, 32) = 128 / 32
GCD(4, 32) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 562
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 562) = 1124
GCD(4, 562) = ( 4 x 562 ) / 1124
GCD(4, 562) = 2248 / 1124
GCD(4, 562) = 2
GCD of 572, 540, 32, 562 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 540, 32, 562?
GCD of 572, 540, 32, 562 is 2
2. Where do I get the detailed procedure to find GCD of 572, 540, 32, 562?
You can find a detailed procedure to find GCD of 572, 540, 32, 562 on our page.
3. How to find GCD of 572, 540, 32, 562 on a calculator?
You can find the GCD of 572, 540, 32, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.