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 428, 759, 701, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 759, 701, 317 is 1
GCD(428, 759, 701, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 759, 701, 317 is 1
GCD(428, 759, 701, 317) = 1
Given Input numbers are 428, 759, 701, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Greatest Common Divisior
We found the divisors of 428, 759, 701, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 759, 701, 317 is 1.
Therefore, GCD of numbers 428, 759, 701, 317 is 1
Given Input Data is 428, 759, 701, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 701 is 701
Prime Factorization of 317 is 317
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(428, 759) = 324852
GCD(428, 759) = ( 428 x 759 ) / 324852
GCD(428, 759) = 324852 / 324852
GCD(428, 759) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 317) = 317
GCD(1, 317) = ( 1 x 317 ) / 317
GCD(1, 317) = 317 / 317
GCD(1, 317) = 1
GCD of 428, 759, 701, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 759, 701, 317?
GCD of 428, 759, 701, 317 is 1
2. Where do I get the detailed procedure to find GCD of 428, 759, 701, 317?
You can find a detailed procedure to find GCD of 428, 759, 701, 317 on our page.
3. How to find GCD of 428, 759, 701, 317 on a calculator?
You can find the GCD of 428, 759, 701, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.