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 938, 560, 68, 515 i.e. 1 largest integer that divides all the numbers equally.
GCD of 938, 560, 68, 515 is 1
GCD(938, 560, 68, 515) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 938, 560, 68, 515 is 1
GCD(938, 560, 68, 515) = 1
Given Input numbers are 938, 560, 68, 515
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Greatest Common Divisior
We found the divisors of 938, 560, 68, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 560, 68, 515 is 1.
Therefore, GCD of numbers 938, 560, 68, 515 is 1
Given Input Data is 938, 560, 68, 515
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 515 is 5 x 103
The above numbers do not have any common prime factor. So GCD is 1
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(938, 560) = 37520
GCD(938, 560) = ( 938 x 560 ) / 37520
GCD(938, 560) = 525280 / 37520
GCD(938, 560) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 68) = 476
GCD(14, 68) = ( 14 x 68 ) / 476
GCD(14, 68) = 952 / 476
GCD(14, 68) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 515
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 515) = 1030
GCD(2, 515) = ( 2 x 515 ) / 1030
GCD(2, 515) = 1030 / 1030
GCD(2, 515) = 1
GCD of 938, 560, 68, 515 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 938, 560, 68, 515?
GCD of 938, 560, 68, 515 is 1
2. Where do I get the detailed procedure to find GCD of 938, 560, 68, 515?
You can find a detailed procedure to find GCD of 938, 560, 68, 515 on our page.
3. How to find GCD of 938, 560, 68, 515 on a calculator?
You can find the GCD of 938, 560, 68, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.