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 316, 837, 272, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 837, 272, 861 is 1
GCD(316, 837, 272, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 837, 272, 861 is 1
GCD(316, 837, 272, 861) = 1
Given Input numbers are 316, 837, 272, 861
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 316, 837, 272, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 837, 272, 861 is 1.
Therefore, GCD of numbers 316, 837, 272, 861 is 1
Given Input Data is 316, 837, 272, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 861 is 3 x 7 x 41
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(316, 837) = 264492
GCD(316, 837) = ( 316 x 837 ) / 264492
GCD(316, 837) = 264492 / 264492
GCD(316, 837) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
GCD of 316, 837, 272, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 837, 272, 861?
GCD of 316, 837, 272, 861 is 1
2. Where do I get the detailed procedure to find GCD of 316, 837, 272, 861?
You can find a detailed procedure to find GCD of 316, 837, 272, 861 on our page.
3. How to find GCD of 316, 837, 272, 861 on a calculator?
You can find the GCD of 316, 837, 272, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.