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 57, 424, 781, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 424, 781, 462 is 1
GCD(57, 424, 781, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 424, 781, 462 is 1
GCD(57, 424, 781, 462) = 1
Given Input numbers are 57, 424, 781, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 57, 424, 781, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 424, 781, 462 is 1.
Therefore, GCD of numbers 57, 424, 781, 462 is 1
Given Input Data is 57, 424, 781, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 781 is 11 x 71
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(57, 424) = 24168
GCD(57, 424) = ( 57 x 424 ) / 24168
GCD(57, 424) = 24168 / 24168
GCD(57, 424) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 781
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 781) = 781
GCD(1, 781) = ( 1 x 781 ) / 781
GCD(1, 781) = 781 / 781
GCD(1, 781) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 57, 424, 781, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 424, 781, 462?
GCD of 57, 424, 781, 462 is 1
2. Where do I get the detailed procedure to find GCD of 57, 424, 781, 462?
You can find a detailed procedure to find GCD of 57, 424, 781, 462 on our page.
3. How to find GCD of 57, 424, 781, 462 on a calculator?
You can find the GCD of 57, 424, 781, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.