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 536, 572, 94, 332 i.e. 2 largest integer that divides all the numbers equally.
GCD of 536, 572, 94, 332 is 2
GCD(536, 572, 94, 332) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 572, 94, 332 is 2
GCD(536, 572, 94, 332) = 2
Given Input numbers are 536, 572, 94, 332
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
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 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Greatest Common Divisior
We found the divisors of 536, 572, 94, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 572, 94, 332 is 2.
Therefore, GCD of numbers 536, 572, 94, 332 is 2
Given Input Data is 536, 572, 94, 332
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 94 is 2 x 47
Prime Factorization of 332 is 2 x 2 x 83
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(536, 572) = 76648
GCD(536, 572) = ( 536 x 572 ) / 76648
GCD(536, 572) = 306592 / 76648
GCD(536, 572) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 94) = 188
GCD(4, 94) = ( 4 x 94 ) / 188
GCD(4, 94) = 376 / 188
GCD(4, 94) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 332) = 332
GCD(2, 332) = ( 2 x 332 ) / 332
GCD(2, 332) = 664 / 332
GCD(2, 332) = 2
GCD of 536, 572, 94, 332 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 572, 94, 332?
GCD of 536, 572, 94, 332 is 2
2. Where do I get the detailed procedure to find GCD of 536, 572, 94, 332?
You can find a detailed procedure to find GCD of 536, 572, 94, 332 on our page.
3. How to find GCD of 536, 572, 94, 332 on a calculator?
You can find the GCD of 536, 572, 94, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.