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 351, 370, 13, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 351, 370, 13, 624 is 1
GCD(351, 370, 13, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 351, 370, 13, 624 is 1
GCD(351, 370, 13, 624) = 1
Given Input numbers are 351, 370, 13, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
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 351, 370, 13, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 370, 13, 624 is 1.
Therefore, GCD of numbers 351, 370, 13, 624 is 1
Given Input Data is 351, 370, 13, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 13 is 13
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(351, 370) = 129870
GCD(351, 370) = ( 351 x 370 ) / 129870
GCD(351, 370) = 129870 / 129870
GCD(351, 370) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 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 351, 370, 13, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 351, 370, 13, 624?
GCD of 351, 370, 13, 624 is 1
2. Where do I get the detailed procedure to find GCD of 351, 370, 13, 624?
You can find a detailed procedure to find GCD of 351, 370, 13, 624 on our page.
3. How to find GCD of 351, 370, 13, 624 on a calculator?
You can find the GCD of 351, 370, 13, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.