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 600, 786, 82, 564 i.e. 2 largest integer that divides all the numbers equally.
GCD of 600, 786, 82, 564 is 2
GCD(600, 786, 82, 564) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 786, 82, 564 is 2
GCD(600, 786, 82, 564) = 2
Given Input numbers are 600, 786, 82, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
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 600, 786, 82, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 786, 82, 564 is 2.
Therefore, GCD of numbers 600, 786, 82, 564 is 2
Given Input Data is 600, 786, 82, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 82 is 2 x 41
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(600, 786) = 78600
GCD(600, 786) = ( 600 x 786 ) / 78600
GCD(600, 786) = 471600 / 78600
GCD(600, 786) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 82) = 246
GCD(6, 82) = ( 6 x 82 ) / 246
GCD(6, 82) = 492 / 246
GCD(6, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
GCD(2, 564) = 1128 / 564
GCD(2, 564) = 2
GCD of 600, 786, 82, 564 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 786, 82, 564?
GCD of 600, 786, 82, 564 is 2
2. Where do I get the detailed procedure to find GCD of 600, 786, 82, 564?
You can find a detailed procedure to find GCD of 600, 786, 82, 564 on our page.
3. How to find GCD of 600, 786, 82, 564 on a calculator?
You can find the GCD of 600, 786, 82, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.