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 361, 812, 920, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 812, 920, 126 is 1
GCD(361, 812, 920, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 812, 920, 126 is 1
GCD(361, 812, 920, 126) = 1
Given Input numbers are 361, 812, 920, 126
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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 361, 812, 920, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 812, 920, 126 is 1.
Therefore, GCD of numbers 361, 812, 920, 126 is 1
Given Input Data is 361, 812, 920, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(361, 812) = 293132
GCD(361, 812) = ( 361 x 812 ) / 293132
GCD(361, 812) = 293132 / 293132
GCD(361, 812) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 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 361, 812, 920, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 812, 920, 126?
GCD of 361, 812, 920, 126 is 1
2. Where do I get the detailed procedure to find GCD of 361, 812, 920, 126?
You can find a detailed procedure to find GCD of 361, 812, 920, 126 on our page.
3. How to find GCD of 361, 812, 920, 126 on a calculator?
You can find the GCD of 361, 812, 920, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.