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, 935, 951, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 935, 951, 378 is 1
GCD(99, 935, 951, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 935, 951, 378 is 1
GCD(99, 935, 951, 378) = 1
Given Input numbers are 99, 935, 951, 378
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 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 99, 935, 951, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 935, 951, 378 is 1.
Therefore, GCD of numbers 99, 935, 951, 378 is 1
Given Input Data is 99, 935, 951, 378
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 935 is 5 x 11 x 17
Prime Factorization of 951 is 3 x 317
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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, 935) = 8415
GCD(99, 935) = ( 99 x 935 ) / 8415
GCD(99, 935) = 92565 / 8415
GCD(99, 935) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 951
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 951) = 10461
GCD(11, 951) = ( 11 x 951 ) / 10461
GCD(11, 951) = 10461 / 10461
GCD(11, 951) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 99, 935, 951, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 935, 951, 378?
GCD of 99, 935, 951, 378 is 1
2. Where do I get the detailed procedure to find GCD of 99, 935, 951, 378?
You can find a detailed procedure to find GCD of 99, 935, 951, 378 on our page.
3. How to find GCD of 99, 935, 951, 378 on a calculator?
You can find the GCD of 99, 935, 951, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.