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 760, 210, 31 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 210, 31 is 1
GCD(760, 210, 31) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 210, 31 is 1
GCD(760, 210, 31) = 1
Given Input numbers are 760, 210, 31
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Greatest Common Divisior
We found the divisors of 760, 210, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 210, 31 is 1.
Therefore, GCD of numbers 760, 210, 31 is 1
Given Input Data is 760, 210, 31
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 31 is 31
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(760, 210) = 15960
GCD(760, 210) = ( 760 x 210 ) / 15960
GCD(760, 210) = 159600 / 15960
GCD(760, 210) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 31) = 310
GCD(10, 31) = ( 10 x 31 ) / 310
GCD(10, 31) = 310 / 310
GCD(10, 31) = 1
GCD of 760, 210, 31 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 210, 31?
GCD of 760, 210, 31 is 1
2. Where do I get the detailed procedure to find GCD of 760, 210, 31?
You can find a detailed procedure to find GCD of 760, 210, 31 on our page.
3. How to find GCD of 760, 210, 31 on a calculator?
You can find the GCD of 760, 210, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.