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, 190, 608, 364 i.e. 2 largest integer that divides all the numbers equally.
GCD of 536, 190, 608, 364 is 2
GCD(536, 190, 608, 364) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 190, 608, 364 is 2
GCD(536, 190, 608, 364) = 2
Given Input numbers are 536, 190, 608, 364
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 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 536, 190, 608, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 190, 608, 364 is 2.
Therefore, GCD of numbers 536, 190, 608, 364 is 2
Given Input Data is 536, 190, 608, 364
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 190 is 2 x 5 x 19
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 364 is 2 x 2 x 7 x 13
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, 190) = 50920
GCD(536, 190) = ( 536 x 190 ) / 50920
GCD(536, 190) = 101840 / 50920
GCD(536, 190) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 608) = 608
GCD(2, 608) = ( 2 x 608 ) / 608
GCD(2, 608) = 1216 / 608
GCD(2, 608) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
GCD(2, 364) = 728 / 364
GCD(2, 364) = 2
GCD of 536, 190, 608, 364 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 190, 608, 364?
GCD of 536, 190, 608, 364 is 2
2. Where do I get the detailed procedure to find GCD of 536, 190, 608, 364?
You can find a detailed procedure to find GCD of 536, 190, 608, 364 on our page.
3. How to find GCD of 536, 190, 608, 364 on a calculator?
You can find the GCD of 536, 190, 608, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.