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, 357, 87, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 357, 87, 867 is 1
GCD(316, 357, 87, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 357, 87, 867 is 1
GCD(316, 357, 87, 867) = 1
Given Input numbers are 316, 357, 87, 867
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 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 316, 357, 87, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 357, 87, 867 is 1.
Therefore, GCD of numbers 316, 357, 87, 867 is 1
Given Input Data is 316, 357, 87, 867
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 357 is 3 x 7 x 17
Prime Factorization of 87 is 3 x 29
Prime Factorization of 867 is 3 x 17 x 17
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, 357) = 112812
GCD(316, 357) = ( 316 x 357 ) / 112812
GCD(316, 357) = 112812 / 112812
GCD(316, 357) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
GCD of 316, 357, 87, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 357, 87, 867?
GCD of 316, 357, 87, 867 is 1
2. Where do I get the detailed procedure to find GCD of 316, 357, 87, 867?
You can find a detailed procedure to find GCD of 316, 357, 87, 867 on our page.
3. How to find GCD of 316, 357, 87, 867 on a calculator?
You can find the GCD of 316, 357, 87, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.