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 371, 517, 70, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 371, 517, 70, 131 is 1
GCD(371, 517, 70, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 371, 517, 70, 131 is 1
GCD(371, 517, 70, 131) = 1
Given Input numbers are 371, 517, 70, 131
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
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 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 371, 517, 70, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 517, 70, 131 is 1.
Therefore, GCD of numbers 371, 517, 70, 131 is 1
Given Input Data is 371, 517, 70, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 371 is 7 x 53
Prime Factorization of 517 is 11 x 47
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 131 is 131
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(371, 517) = 191807
GCD(371, 517) = ( 371 x 517 ) / 191807
GCD(371, 517) = 191807 / 191807
GCD(371, 517) = 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 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
GCD of 371, 517, 70, 131 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 371, 517, 70, 131?
GCD of 371, 517, 70, 131 is 1
2. Where do I get the detailed procedure to find GCD of 371, 517, 70, 131?
You can find a detailed procedure to find GCD of 371, 517, 70, 131 on our page.
3. How to find GCD of 371, 517, 70, 131 on a calculator?
You can find the GCD of 371, 517, 70, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.