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 853, 916, 102, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 853, 916, 102, 837 is 1
GCD(853, 916, 102, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 853, 916, 102, 837 is 1
GCD(853, 916, 102, 837) = 1
Given Input numbers are 853, 916, 102, 837
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 853, 916, 102, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 916, 102, 837 is 1.
Therefore, GCD of numbers 853, 916, 102, 837 is 1
Given Input Data is 853, 916, 102, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 853 is 853
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 837 is 3 x 3 x 3 x 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(853, 916) = 781348
GCD(853, 916) = ( 853 x 916 ) / 781348
GCD(853, 916) = 781348 / 781348
GCD(853, 916) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
GCD of 853, 916, 102, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 853, 916, 102, 837?
GCD of 853, 916, 102, 837 is 1
2. Where do I get the detailed procedure to find GCD of 853, 916, 102, 837?
You can find a detailed procedure to find GCD of 853, 916, 102, 837 on our page.
3. How to find GCD of 853, 916, 102, 837 on a calculator?
You can find the GCD of 853, 916, 102, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.