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, 447, 49, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 447, 49, 588 is 1
GCD(126, 447, 49, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 447, 49, 588 is 1
GCD(126, 447, 49, 588) = 1
Given Input numbers are 126, 447, 49, 588
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 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 126, 447, 49, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 447, 49, 588 is 1.
Therefore, GCD of numbers 126, 447, 49, 588 is 1
Given Input Data is 126, 447, 49, 588
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 447 is 3 x 149
Prime Factorization of 49 is 7 x 7
Prime Factorization of 588 is 2 x 2 x 3 x 7 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(126, 447) = 18774
GCD(126, 447) = ( 126 x 447 ) / 18774
GCD(126, 447) = 56322 / 18774
GCD(126, 447) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 49) = 147
GCD(3, 49) = ( 3 x 49 ) / 147
GCD(3, 49) = 147 / 147
GCD(3, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 126, 447, 49, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 447, 49, 588?
GCD of 126, 447, 49, 588 is 1
2. Where do I get the detailed procedure to find GCD of 126, 447, 49, 588?
You can find a detailed procedure to find GCD of 126, 447, 49, 588 on our page.
3. How to find GCD of 126, 447, 49, 588 on a calculator?
You can find the GCD of 126, 447, 49, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.