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 472, 678, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 472, 678, 349 is 1
GCD(472, 678, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 472, 678, 349 is 1
GCD(472, 678, 349) = 1
Given Input numbers are 472, 678, 349
To find the GCD of numbers using factoring list out all the divisors of each number
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 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 472, 678, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 678, 349 is 1.
Therefore, GCD of numbers 472, 678, 349 is 1
Given Input Data is 472, 678, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 349 is 349
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(472, 678) = 160008
GCD(472, 678) = ( 472 x 678 ) / 160008
GCD(472, 678) = 320016 / 160008
GCD(472, 678) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 349) = 698
GCD(2, 349) = ( 2 x 349 ) / 698
GCD(2, 349) = 698 / 698
GCD(2, 349) = 1
GCD of 472, 678, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 472, 678, 349?
GCD of 472, 678, 349 is 1
2. Where do I get the detailed procedure to find GCD of 472, 678, 349?
You can find a detailed procedure to find GCD of 472, 678, 349 on our page.
3. How to find GCD of 472, 678, 349 on a calculator?
You can find the GCD of 472, 678, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.