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 338, 472, 94, 547 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 472, 94, 547 is 1
GCD(338, 472, 94, 547) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 472, 94, 547 is 1
GCD(338, 472, 94, 547) = 1
Given Input numbers are 338, 472, 94, 547
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
Greatest Common Divisior
We found the divisors of 338, 472, 94, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 472, 94, 547 is 1.
Therefore, GCD of numbers 338, 472, 94, 547 is 1
Given Input Data is 338, 472, 94, 547
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 94 is 2 x 47
Prime Factorization of 547 is 547
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(338, 472) = 79768
GCD(338, 472) = ( 338 x 472 ) / 79768
GCD(338, 472) = 159536 / 79768
GCD(338, 472) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 94) = 94
GCD(2, 94) = ( 2 x 94 ) / 94
GCD(2, 94) = 188 / 94
GCD(2, 94) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 547
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 547) = 1094
GCD(2, 547) = ( 2 x 547 ) / 1094
GCD(2, 547) = 1094 / 1094
GCD(2, 547) = 1
GCD of 338, 472, 94, 547 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 338, 472, 94, 547?
GCD of 338, 472, 94, 547 is 1
2. Where do I get the detailed procedure to find GCD of 338, 472, 94, 547?
You can find a detailed procedure to find GCD of 338, 472, 94, 547 on our page.
3. How to find GCD of 338, 472, 94, 547 on a calculator?
You can find the GCD of 338, 472, 94, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.