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 10, 311, 837, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 311, 837, 624 is 1
GCD(10, 311, 837, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 311, 837, 624 is 1
GCD(10, 311, 837, 624) = 1
Given Input numbers are 10, 311, 837, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
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 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 10, 311, 837, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 311, 837, 624 is 1.
Therefore, GCD of numbers 10, 311, 837, 624 is 1
Given Input Data is 10, 311, 837, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 311 is 311
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(10, 311) = 3110
GCD(10, 311) = ( 10 x 311 ) / 3110
GCD(10, 311) = 3110 / 3110
GCD(10, 311) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 10, 311, 837, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 311, 837, 624?
GCD of 10, 311, 837, 624 is 1
2. Where do I get the detailed procedure to find GCD of 10, 311, 837, 624?
You can find a detailed procedure to find GCD of 10, 311, 837, 624 on our page.
3. How to find GCD of 10, 311, 837, 624 on a calculator?
You can find the GCD of 10, 311, 837, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.