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 912, 420, 163, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 912, 420, 163, 730 is 1
GCD(912, 420, 163, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 912, 420, 163, 730 is 1
GCD(912, 420, 163, 730) = 1
Given Input numbers are 912, 420, 163, 730
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 912, 420, 163, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 420, 163, 730 is 1.
Therefore, GCD of numbers 912, 420, 163, 730 is 1
Given Input Data is 912, 420, 163, 730
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 163 is 163
Prime Factorization of 730 is 2 x 5 x 73
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(912, 420) = 31920
GCD(912, 420) = ( 912 x 420 ) / 31920
GCD(912, 420) = 383040 / 31920
GCD(912, 420) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 163) = 1956
GCD(12, 163) = ( 12 x 163 ) / 1956
GCD(12, 163) = 1956 / 1956
GCD(12, 163) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 912, 420, 163, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 912, 420, 163, 730?
GCD of 912, 420, 163, 730 is 1
2. Where do I get the detailed procedure to find GCD of 912, 420, 163, 730?
You can find a detailed procedure to find GCD of 912, 420, 163, 730 on our page.
3. How to find GCD of 912, 420, 163, 730 on a calculator?
You can find the GCD of 912, 420, 163, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.