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 53, 731, 983, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 731, 983, 924 is 1
GCD(53, 731, 983, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 731, 983, 924 is 1
GCD(53, 731, 983, 924) = 1
Given Input numbers are 53, 731, 983, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 53, 731, 983, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 731, 983, 924 is 1.
Therefore, GCD of numbers 53, 731, 983, 924 is 1
Given Input Data is 53, 731, 983, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 731 is 17 x 43
Prime Factorization of 983 is 983
Prime Factorization of 924 is 2 x 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(53, 731) = 38743
GCD(53, 731) = ( 53 x 731 ) / 38743
GCD(53, 731) = 38743 / 38743
GCD(53, 731) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 53, 731, 983, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 731, 983, 924?
GCD of 53, 731, 983, 924 is 1
2. Where do I get the detailed procedure to find GCD of 53, 731, 983, 924?
You can find a detailed procedure to find GCD of 53, 731, 983, 924 on our page.
3. How to find GCD of 53, 731, 983, 924 on a calculator?
You can find the GCD of 53, 731, 983, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.