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, 254, 339, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 254, 339, 352 is 1
GCD(372, 254, 339, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 254, 339, 352 is 1
GCD(372, 254, 339, 352) = 1
Given Input numbers are 372, 254, 339, 352
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 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 372, 254, 339, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 254, 339, 352 is 1.
Therefore, GCD of numbers 372, 254, 339, 352 is 1
Given Input Data is 372, 254, 339, 352
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 254 is 2 x 127
Prime Factorization of 339 is 3 x 113
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(372, 254) = 47244
GCD(372, 254) = ( 372 x 254 ) / 47244
GCD(372, 254) = 94488 / 47244
GCD(372, 254) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 339) = 678
GCD(2, 339) = ( 2 x 339 ) / 678
GCD(2, 339) = 678 / 678
GCD(2, 339) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 372, 254, 339, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 254, 339, 352?
GCD of 372, 254, 339, 352 is 1
2. Where do I get the detailed procedure to find GCD of 372, 254, 339, 352?
You can find a detailed procedure to find GCD of 372, 254, 339, 352 on our page.
3. How to find GCD of 372, 254, 339, 352 on a calculator?
You can find the GCD of 372, 254, 339, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.