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 72, 372, 348, 258 i.e. 6 largest integer that divides all the numbers equally.
GCD of 72, 372, 348, 258 is 6
GCD(72, 372, 348, 258) = 6
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 372, 348, 258 is 6
GCD(72, 372, 348, 258) = 6
Given Input numbers are 72, 372, 348, 258
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Greatest Common Divisior
We found the divisors of 72, 372, 348, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 372, 348, 258 is 6.
Therefore, GCD of numbers 72, 372, 348, 258 is 6
Given Input Data is 72, 372, 348, 258
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 258 is 2 x 3 x 43
Highest common occurrences in the given inputs are 21 x 31
Multiplying them we get the GCD as 6
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(72, 372) = 2232
GCD(72, 372) = ( 72 x 372 ) / 2232
GCD(72, 372) = 26784 / 2232
GCD(72, 372) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 348) = 348
GCD(12, 348) = ( 12 x 348 ) / 348
GCD(12, 348) = 4176 / 348
GCD(12, 348) = 12
Step3:
Here we consider the GCD from the above i.e. 12 as first number and the next as 258
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 258) = 516
GCD(12, 258) = ( 12 x 258 ) / 516
GCD(12, 258) = 3096 / 516
GCD(12, 258) = 6
GCD of 72, 372, 348, 258 is 6
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 372, 348, 258?
GCD of 72, 372, 348, 258 is 6
2. Where do I get the detailed procedure to find GCD of 72, 372, 348, 258?
You can find a detailed procedure to find GCD of 72, 372, 348, 258 on our page.
3. How to find GCD of 72, 372, 348, 258 on a calculator?
You can find the GCD of 72, 372, 348, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.