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 50, 487, 402, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 487, 402, 126 is 1
GCD(50, 487, 402, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 487, 402, 126 is 1
GCD(50, 487, 402, 126) = 1
Given Input numbers are 50, 487, 402, 126
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
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 50, 487, 402, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 487, 402, 126 is 1.
Therefore, GCD of numbers 50, 487, 402, 126 is 1
Given Input Data is 50, 487, 402, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 487 is 487
Prime Factorization of 402 is 2 x 3 x 67
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(50, 487) = 24350
GCD(50, 487) = ( 50 x 487 ) / 24350
GCD(50, 487) = 24350 / 24350
GCD(50, 487) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 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 50, 487, 402, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 487, 402, 126?
GCD of 50, 487, 402, 126 is 1
2. Where do I get the detailed procedure to find GCD of 50, 487, 402, 126?
You can find a detailed procedure to find GCD of 50, 487, 402, 126 on our page.
3. How to find GCD of 50, 487, 402, 126 on a calculator?
You can find the GCD of 50, 487, 402, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.