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 710, 971, 279, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 710, 971, 279, 982 is 1
GCD(710, 971, 279, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 971, 279, 982 is 1
GCD(710, 971, 279, 982) = 1
Given Input numbers are 710, 971, 279, 982
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 710, 971, 279, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 971, 279, 982 is 1.
Therefore, GCD of numbers 710, 971, 279, 982 is 1
Given Input Data is 710, 971, 279, 982
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 971 is 971
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 982 is 2 x 491
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(710, 971) = 689410
GCD(710, 971) = ( 710 x 971 ) / 689410
GCD(710, 971) = 689410 / 689410
GCD(710, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 710, 971, 279, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 971, 279, 982?
GCD of 710, 971, 279, 982 is 1
2. Where do I get the detailed procedure to find GCD of 710, 971, 279, 982?
You can find a detailed procedure to find GCD of 710, 971, 279, 982 on our page.
3. How to find GCD of 710, 971, 279, 982 on a calculator?
You can find the GCD of 710, 971, 279, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.