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 90, 913, 716, 994 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 913, 716, 994 is 1
GCD(90, 913, 716, 994) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 913, 716, 994 is 1
GCD(90, 913, 716, 994) = 1
Given Input numbers are 90, 913, 716, 994
To find the GCD of numbers using factoring list out all the divisors of each number
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 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Greatest Common Divisior
We found the divisors of 90, 913, 716, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 913, 716, 994 is 1.
Therefore, GCD of numbers 90, 913, 716, 994 is 1
Given Input Data is 90, 913, 716, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 913 is 11 x 83
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 994 is 2 x 7 x 71
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(90, 913) = 82170
GCD(90, 913) = ( 90 x 913 ) / 82170
GCD(90, 913) = 82170 / 82170
GCD(90, 913) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
GCD(1, 716) = 716 / 716
GCD(1, 716) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
GCD(1, 994) = 994 / 994
GCD(1, 994) = 1
GCD of 90, 913, 716, 994 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 913, 716, 994?
GCD of 90, 913, 716, 994 is 1
2. Where do I get the detailed procedure to find GCD of 90, 913, 716, 994?
You can find a detailed procedure to find GCD of 90, 913, 716, 994 on our page.
3. How to find GCD of 90, 913, 716, 994 on a calculator?
You can find the GCD of 90, 913, 716, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.