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, 983, 496, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 983, 496, 536 is 1
GCD(57, 983, 496, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 983, 496, 536 is 1
GCD(57, 983, 496, 536) = 1
Given Input numbers are 57, 983, 496, 536
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 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 57, 983, 496, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 983, 496, 536 is 1.
Therefore, GCD of numbers 57, 983, 496, 536 is 1
Given Input Data is 57, 983, 496, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 983 is 983
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 536 is 2 x 2 x 2 x 67
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, 983) = 56031
GCD(57, 983) = ( 57 x 983 ) / 56031
GCD(57, 983) = 56031 / 56031
GCD(57, 983) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 57, 983, 496, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 983, 496, 536?
GCD of 57, 983, 496, 536 is 1
2. Where do I get the detailed procedure to find GCD of 57, 983, 496, 536?
You can find a detailed procedure to find GCD of 57, 983, 496, 536 on our page.
3. How to find GCD of 57, 983, 496, 536 on a calculator?
You can find the GCD of 57, 983, 496, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.