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 290, 225, 922, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 290, 225, 922, 987 is 1
GCD(290, 225, 922, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 225, 922, 987 is 1
GCD(290, 225, 922, 987) = 1
Given Input numbers are 290, 225, 922, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 290, 225, 922, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 225, 922, 987 is 1.
Therefore, GCD of numbers 290, 225, 922, 987 is 1
Given Input Data is 290, 225, 922, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 922 is 2 x 461
Prime Factorization of 987 is 3 x 7 x 47
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(290, 225) = 13050
GCD(290, 225) = ( 290 x 225 ) / 13050
GCD(290, 225) = 65250 / 13050
GCD(290, 225) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 922) = 4610
GCD(5, 922) = ( 5 x 922 ) / 4610
GCD(5, 922) = 4610 / 4610
GCD(5, 922) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 290, 225, 922, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 225, 922, 987?
GCD of 290, 225, 922, 987 is 1
2. Where do I get the detailed procedure to find GCD of 290, 225, 922, 987?
You can find a detailed procedure to find GCD of 290, 225, 922, 987 on our page.
3. How to find GCD of 290, 225, 922, 987 on a calculator?
You can find the GCD of 290, 225, 922, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.