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 126, 708, 41, 478 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 708, 41, 478 is 1
GCD(126, 708, 41, 478) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 708, 41, 478 is 1
GCD(126, 708, 41, 478) = 1
Given Input numbers are 126, 708, 41, 478
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Greatest Common Divisior
We found the divisors of 126, 708, 41, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 708, 41, 478 is 1.
Therefore, GCD of numbers 126, 708, 41, 478 is 1
Given Input Data is 126, 708, 41, 478
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 41 is 41
Prime Factorization of 478 is 2 x 239
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(126, 708) = 14868
GCD(126, 708) = ( 126 x 708 ) / 14868
GCD(126, 708) = 89208 / 14868
GCD(126, 708) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 41) = 246
GCD(6, 41) = ( 6 x 41 ) / 246
GCD(6, 41) = 246 / 246
GCD(6, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 478) = 478
GCD(1, 478) = ( 1 x 478 ) / 478
GCD(1, 478) = 478 / 478
GCD(1, 478) = 1
GCD of 126, 708, 41, 478 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 708, 41, 478?
GCD of 126, 708, 41, 478 is 1
2. Where do I get the detailed procedure to find GCD of 126, 708, 41, 478?
You can find a detailed procedure to find GCD of 126, 708, 41, 478 on our page.
3. How to find GCD of 126, 708, 41, 478 on a calculator?
You can find the GCD of 126, 708, 41, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.