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 268, 650, 598, 634 i.e. 2 largest integer that divides all the numbers equally.
GCD of 268, 650, 598, 634 is 2
GCD(268, 650, 598, 634) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 650, 598, 634 is 2
GCD(268, 650, 598, 634) = 2
Given Input numbers are 268, 650, 598, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 268, 650, 598, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 650, 598, 634 is 2.
Therefore, GCD of numbers 268, 650, 598, 634 is 2
Given Input Data is 268, 650, 598, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 634 is 2 x 317
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(268, 650) = 87100
GCD(268, 650) = ( 268 x 650 ) / 87100
GCD(268, 650) = 174200 / 87100
GCD(268, 650) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 598) = 598
GCD(2, 598) = ( 2 x 598 ) / 598
GCD(2, 598) = 1196 / 598
GCD(2, 598) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
GCD(2, 634) = 1268 / 634
GCD(2, 634) = 2
GCD of 268, 650, 598, 634 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 650, 598, 634?
GCD of 268, 650, 598, 634 is 2
2. Where do I get the detailed procedure to find GCD of 268, 650, 598, 634?
You can find a detailed procedure to find GCD of 268, 650, 598, 634 on our page.
3. How to find GCD of 268, 650, 598, 634 on a calculator?
You can find the GCD of 268, 650, 598, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.