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 871, 507, 72, 278 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 507, 72, 278 is 1
GCD(871, 507, 72, 278) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 507, 72, 278 is 1
GCD(871, 507, 72, 278) = 1
Given Input numbers are 871, 507, 72, 278
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 871, 507, 72, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 507, 72, 278 is 1.
Therefore, GCD of numbers 871, 507, 72, 278 is 1
Given Input Data is 871, 507, 72, 278
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 278 is 2 x 139
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(871, 507) = 33969
GCD(871, 507) = ( 871 x 507 ) / 33969
GCD(871, 507) = 441597 / 33969
GCD(871, 507) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 72) = 936
GCD(13, 72) = ( 13 x 72 ) / 936
GCD(13, 72) = 936 / 936
GCD(13, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
GCD of 871, 507, 72, 278 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 507, 72, 278?
GCD of 871, 507, 72, 278 is 1
2. Where do I get the detailed procedure to find GCD of 871, 507, 72, 278?
You can find a detailed procedure to find GCD of 871, 507, 72, 278 on our page.
3. How to find GCD of 871, 507, 72, 278 on a calculator?
You can find the GCD of 871, 507, 72, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.