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 985, 885, 90, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 985, 885, 90, 874 is 1
GCD(985, 885, 90, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 985, 885, 90, 874 is 1
GCD(985, 885, 90, 874) = 1
Given Input numbers are 985, 885, 90, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 985, 885, 90, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 885, 90, 874 is 1.
Therefore, GCD of numbers 985, 885, 90, 874 is 1
Given Input Data is 985, 885, 90, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 985 is 5 x 197
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 874 is 2 x 19 x 23
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(985, 885) = 174345
GCD(985, 885) = ( 985 x 885 ) / 174345
GCD(985, 885) = 871725 / 174345
GCD(985, 885) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 90) = 90
GCD(5, 90) = ( 5 x 90 ) / 90
GCD(5, 90) = 450 / 90
GCD(5, 90) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 874) = 4370
GCD(5, 874) = ( 5 x 874 ) / 4370
GCD(5, 874) = 4370 / 4370
GCD(5, 874) = 1
GCD of 985, 885, 90, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 985, 885, 90, 874?
GCD of 985, 885, 90, 874 is 1
2. Where do I get the detailed procedure to find GCD of 985, 885, 90, 874?
You can find a detailed procedure to find GCD of 985, 885, 90, 874 on our page.
3. How to find GCD of 985, 885, 90, 874 on a calculator?
You can find the GCD of 985, 885, 90, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.