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 372, 138, 24, 958 i.e. 2 largest integer that divides all the numbers equally.
GCD of 372, 138, 24, 958 is 2
GCD(372, 138, 24, 958) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 138, 24, 958 is 2
GCD(372, 138, 24, 958) = 2
Given Input numbers are 372, 138, 24, 958
To find the GCD of numbers using factoring list out all the divisors of each number
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 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 372, 138, 24, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 138, 24, 958 is 2.
Therefore, GCD of numbers 372, 138, 24, 958 is 2
Given Input Data is 372, 138, 24, 958
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 958 is 2 x 479
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(372, 138) = 8556
GCD(372, 138) = ( 372 x 138 ) / 8556
GCD(372, 138) = 51336 / 8556
GCD(372, 138) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 24) = 24
GCD(6, 24) = ( 6 x 24 ) / 24
GCD(6, 24) = 144 / 24
GCD(6, 24) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 958) = 2874
GCD(6, 958) = ( 6 x 958 ) / 2874
GCD(6, 958) = 5748 / 2874
GCD(6, 958) = 2
GCD of 372, 138, 24, 958 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 138, 24, 958?
GCD of 372, 138, 24, 958 is 2
2. Where do I get the detailed procedure to find GCD of 372, 138, 24, 958?
You can find a detailed procedure to find GCD of 372, 138, 24, 958 on our page.
3. How to find GCD of 372, 138, 24, 958 on a calculator?
You can find the GCD of 372, 138, 24, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.