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 972, 912, 263, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 912, 263, 493 is 1
GCD(972, 912, 263, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 912, 263, 493 is 1
GCD(972, 912, 263, 493) = 1
Given Input numbers are 972, 912, 263, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 972, 912, 263, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 912, 263, 493 is 1.
Therefore, GCD of numbers 972, 912, 263, 493 is 1
Given Input Data is 972, 912, 263, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 263 is 263
Prime Factorization of 493 is 17 x 29
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(972, 912) = 73872
GCD(972, 912) = ( 972 x 912 ) / 73872
GCD(972, 912) = 886464 / 73872
GCD(972, 912) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 263) = 3156
GCD(12, 263) = ( 12 x 263 ) / 3156
GCD(12, 263) = 3156 / 3156
GCD(12, 263) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
GCD of 972, 912, 263, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 912, 263, 493?
GCD of 972, 912, 263, 493 is 1
2. Where do I get the detailed procedure to find GCD of 972, 912, 263, 493?
You can find a detailed procedure to find GCD of 972, 912, 263, 493 on our page.
3. How to find GCD of 972, 912, 263, 493 on a calculator?
You can find the GCD of 972, 912, 263, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.