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 253, 740, 852, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 740, 852, 983 is 1
GCD(253, 740, 852, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 740, 852, 983 is 1
GCD(253, 740, 852, 983) = 1
Given Input numbers are 253, 740, 852, 983
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 253, 740, 852, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 740, 852, 983 is 1.
Therefore, GCD of numbers 253, 740, 852, 983 is 1
Given Input Data is 253, 740, 852, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 983 is 983
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(253, 740) = 187220
GCD(253, 740) = ( 253 x 740 ) / 187220
GCD(253, 740) = 187220 / 187220
GCD(253, 740) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
Step3:
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
GCD of 253, 740, 852, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 740, 852, 983?
GCD of 253, 740, 852, 983 is 1
2. Where do I get the detailed procedure to find GCD of 253, 740, 852, 983?
You can find a detailed procedure to find GCD of 253, 740, 852, 983 on our page.
3. How to find GCD of 253, 740, 852, 983 on a calculator?
You can find the GCD of 253, 740, 852, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.