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 635, 790, 256, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 790, 256, 427 is 1
GCD(635, 790, 256, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 790, 256, 427 is 1
GCD(635, 790, 256, 427) = 1
Given Input numbers are 635, 790, 256, 427
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 635, 790, 256, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 790, 256, 427 is 1.
Therefore, GCD of numbers 635, 790, 256, 427 is 1
Given Input Data is 635, 790, 256, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 427 is 7 x 61
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(635, 790) = 100330
GCD(635, 790) = ( 635 x 790 ) / 100330
GCD(635, 790) = 501650 / 100330
GCD(635, 790) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 256) = 1280
GCD(5, 256) = ( 5 x 256 ) / 1280
GCD(5, 256) = 1280 / 1280
GCD(5, 256) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 635, 790, 256, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 790, 256, 427?
GCD of 635, 790, 256, 427 is 1
2. Where do I get the detailed procedure to find GCD of 635, 790, 256, 427?
You can find a detailed procedure to find GCD of 635, 790, 256, 427 on our page.
3. How to find GCD of 635, 790, 256, 427 on a calculator?
You can find the GCD of 635, 790, 256, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.