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 423, 724, 912, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 724, 912, 762 is 1
GCD(423, 724, 912, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 724, 912, 762 is 1
GCD(423, 724, 912, 762) = 1
Given Input numbers are 423, 724, 912, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
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 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 423, 724, 912, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 724, 912, 762 is 1.
Therefore, GCD of numbers 423, 724, 912, 762 is 1
Given Input Data is 423, 724, 912, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 762 is 2 x 3 x 127
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(423, 724) = 306252
GCD(423, 724) = ( 423 x 724 ) / 306252
GCD(423, 724) = 306252 / 306252
GCD(423, 724) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 423, 724, 912, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 724, 912, 762?
GCD of 423, 724, 912, 762 is 1
2. Where do I get the detailed procedure to find GCD of 423, 724, 912, 762?
You can find a detailed procedure to find GCD of 423, 724, 912, 762 on our page.
3. How to find GCD of 423, 724, 912, 762 on a calculator?
You can find the GCD of 423, 724, 912, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.