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 128, 560, 68, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 560, 68, 935 is 1
GCD(128, 560, 68, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 560, 68, 935 is 1
GCD(128, 560, 68, 935) = 1
Given Input numbers are 128, 560, 68, 935
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
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 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 128, 560, 68, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 560, 68, 935 is 1.
Therefore, GCD of numbers 128, 560, 68, 935 is 1
Given Input Data is 128, 560, 68, 935
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
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 935 is 5 x 11 x 17
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(128, 560) = 4480
GCD(128, 560) = ( 128 x 560 ) / 4480
GCD(128, 560) = 71680 / 4480
GCD(128, 560) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 68) = 272
GCD(16, 68) = ( 16 x 68 ) / 272
GCD(16, 68) = 1088 / 272
GCD(16, 68) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 935) = 3740
GCD(4, 935) = ( 4 x 935 ) / 3740
GCD(4, 935) = 3740 / 3740
GCD(4, 935) = 1
GCD of 128, 560, 68, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 560, 68, 935?
GCD of 128, 560, 68, 935 is 1
2. Where do I get the detailed procedure to find GCD of 128, 560, 68, 935?
You can find a detailed procedure to find GCD of 128, 560, 68, 935 on our page.
3. How to find GCD of 128, 560, 68, 935 on a calculator?
You can find the GCD of 128, 560, 68, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.