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 46, 629, 189, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 629, 189, 126 is 1
GCD(46, 629, 189, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 629, 189, 126 is 1
GCD(46, 629, 189, 126) = 1
Given Input numbers are 46, 629, 189, 126
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Greatest Common Divisior
We found the divisors of 46, 629, 189, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 629, 189, 126 is 1.
Therefore, GCD of numbers 46, 629, 189, 126 is 1
Given Input Data is 46, 629, 189, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 629 is 17 x 37
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 126 is 2 x 3 x 3 x 7
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(46, 629) = 28934
GCD(46, 629) = ( 46 x 629 ) / 28934
GCD(46, 629) = 28934 / 28934
GCD(46, 629) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
GCD of 46, 629, 189, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 629, 189, 126?
GCD of 46, 629, 189, 126 is 1
2. Where do I get the detailed procedure to find GCD of 46, 629, 189, 126?
You can find a detailed procedure to find GCD of 46, 629, 189, 126 on our page.
3. How to find GCD of 46, 629, 189, 126 on a calculator?
You can find the GCD of 46, 629, 189, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.