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 99, 372, 942, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 372, 942, 337 is 1
GCD(99, 372, 942, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 372, 942, 337 is 1
GCD(99, 372, 942, 337) = 1
Given Input numbers are 99, 372, 942, 337
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 99, 372, 942, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 372, 942, 337 is 1.
Therefore, GCD of numbers 99, 372, 942, 337 is 1
Given Input Data is 99, 372, 942, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 337 is 337
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(99, 372) = 12276
GCD(99, 372) = ( 99 x 372 ) / 12276
GCD(99, 372) = 36828 / 12276
GCD(99, 372) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 942) = 942
GCD(3, 942) = ( 3 x 942 ) / 942
GCD(3, 942) = 2826 / 942
GCD(3, 942) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 337) = 1011
GCD(3, 337) = ( 3 x 337 ) / 1011
GCD(3, 337) = 1011 / 1011
GCD(3, 337) = 1
GCD of 99, 372, 942, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 372, 942, 337?
GCD of 99, 372, 942, 337 is 1
2. Where do I get the detailed procedure to find GCD of 99, 372, 942, 337?
You can find a detailed procedure to find GCD of 99, 372, 942, 337 on our page.
3. How to find GCD of 99, 372, 942, 337 on a calculator?
You can find the GCD of 99, 372, 942, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.