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 26, 610, 336, 564 i.e. 2 largest integer that divides all the numbers equally.
GCD of 26, 610, 336, 564 is 2
GCD(26, 610, 336, 564) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 610, 336, 564 is 2
GCD(26, 610, 336, 564) = 2
Given Input numbers are 26, 610, 336, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
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 26, 610, 336, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 610, 336, 564 is 2.
Therefore, GCD of numbers 26, 610, 336, 564 is 2
Given Input Data is 26, 610, 336, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(26, 610) = 7930
GCD(26, 610) = ( 26 x 610 ) / 7930
GCD(26, 610) = 15860 / 7930
GCD(26, 610) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
GCD(2, 336) = 672 / 336
GCD(2, 336) = 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 26, 610, 336, 564 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 610, 336, 564?
GCD of 26, 610, 336, 564 is 2
2. Where do I get the detailed procedure to find GCD of 26, 610, 336, 564?
You can find a detailed procedure to find GCD of 26, 610, 336, 564 on our page.
3. How to find GCD of 26, 610, 336, 564 on a calculator?
You can find the GCD of 26, 610, 336, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.