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 482, 126, 351, 800 i.e. 1 largest integer that divides all the numbers equally.
GCD of 482, 126, 351, 800 is 1
GCD(482, 126, 351, 800) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 482, 126, 351, 800 is 1
GCD(482, 126, 351, 800) = 1
Given Input numbers are 482, 126, 351, 800
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
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 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Greatest Common Divisior
We found the divisors of 482, 126, 351, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 126, 351, 800 is 1.
Therefore, GCD of numbers 482, 126, 351, 800 is 1
Given Input Data is 482, 126, 351, 800
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 482 is 2 x 241
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
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(482, 126) = 30366
GCD(482, 126) = ( 482 x 126 ) / 30366
GCD(482, 126) = 60732 / 30366
GCD(482, 126) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 351) = 702
GCD(2, 351) = ( 2 x 351 ) / 702
GCD(2, 351) = 702 / 702
GCD(2, 351) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
GCD of 482, 126, 351, 800 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 482, 126, 351, 800?
GCD of 482, 126, 351, 800 is 1
2. Where do I get the detailed procedure to find GCD of 482, 126, 351, 800?
You can find a detailed procedure to find GCD of 482, 126, 351, 800 on our page.
3. How to find GCD of 482, 126, 351, 800 on a calculator?
You can find the GCD of 482, 126, 351, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.