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 370, 503, 31, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 503, 31, 764 is 1
GCD(370, 503, 31, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 503, 31, 764 is 1
GCD(370, 503, 31, 764) = 1
Given Input numbers are 370, 503, 31, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 370, 503, 31, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 503, 31, 764 is 1.
Therefore, GCD of numbers 370, 503, 31, 764 is 1
Given Input Data is 370, 503, 31, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 503 is 503
Prime Factorization of 31 is 31
Prime Factorization of 764 is 2 x 2 x 191
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(370, 503) = 186110
GCD(370, 503) = ( 370 x 503 ) / 186110
GCD(370, 503) = 186110 / 186110
GCD(370, 503) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 370, 503, 31, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 503, 31, 764?
GCD of 370, 503, 31, 764 is 1
2. Where do I get the detailed procedure to find GCD of 370, 503, 31, 764?
You can find a detailed procedure to find GCD of 370, 503, 31, 764 on our page.
3. How to find GCD of 370, 503, 31, 764 on a calculator?
You can find the GCD of 370, 503, 31, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.