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 385, 898, 72, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 898, 72, 983 is 1
GCD(385, 898, 72, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 898, 72, 983 is 1
GCD(385, 898, 72, 983) = 1
Given Input numbers are 385, 898, 72, 983
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 385, 898, 72, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 898, 72, 983 is 1.
Therefore, GCD of numbers 385, 898, 72, 983 is 1
Given Input Data is 385, 898, 72, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 898 is 2 x 449
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
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(385, 898) = 345730
GCD(385, 898) = ( 385 x 898 ) / 345730
GCD(385, 898) = 345730 / 345730
GCD(385, 898) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 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 385, 898, 72, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 898, 72, 983?
GCD of 385, 898, 72, 983 is 1
2. Where do I get the detailed procedure to find GCD of 385, 898, 72, 983?
You can find a detailed procedure to find GCD of 385, 898, 72, 983 on our page.
3. How to find GCD of 385, 898, 72, 983 on a calculator?
You can find the GCD of 385, 898, 72, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.