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 147, 678, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 678, 422 is 1
GCD(147, 678, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 678, 422 is 1
GCD(147, 678, 422) = 1
Given Input numbers are 147, 678, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
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 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 147, 678, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 678, 422 is 1.
Therefore, GCD of numbers 147, 678, 422 is 1
Given Input Data is 147, 678, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 422 is 2 x 211
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(147, 678) = 33222
GCD(147, 678) = ( 147 x 678 ) / 33222
GCD(147, 678) = 99666 / 33222
GCD(147, 678) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 422) = 1266
GCD(3, 422) = ( 3 x 422 ) / 1266
GCD(3, 422) = 1266 / 1266
GCD(3, 422) = 1
GCD of 147, 678, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 678, 422?
GCD of 147, 678, 422 is 1
2. Where do I get the detailed procedure to find GCD of 147, 678, 422?
You can find a detailed procedure to find GCD of 147, 678, 422 on our page.
3. How to find GCD of 147, 678, 422 on a calculator?
You can find the GCD of 147, 678, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.