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 137, 103, 70, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 103, 70, 317 is 1
GCD(137, 103, 70, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 103, 70, 317 is 1
GCD(137, 103, 70, 317) = 1
Given Input numbers are 137, 103, 70, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
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 137, 103, 70, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 103, 70, 317 is 1.
Therefore, GCD of numbers 137, 103, 70, 317 is 1
Given Input Data is 137, 103, 70, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 103 is 103
Prime Factorization of 70 is 2 x 5 x 7
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(137, 103) = 14111
GCD(137, 103) = ( 137 x 103 ) / 14111
GCD(137, 103) = 14111 / 14111
GCD(137, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 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 137, 103, 70, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 103, 70, 317?
GCD of 137, 103, 70, 317 is 1
2. Where do I get the detailed procedure to find GCD of 137, 103, 70, 317?
You can find a detailed procedure to find GCD of 137, 103, 70, 317 on our page.
3. How to find GCD of 137, 103, 70, 317 on a calculator?
You can find the GCD of 137, 103, 70, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.