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 225, 520, 490, 373 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 520, 490, 373 is 1
GCD(225, 520, 490, 373) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 520, 490, 373 is 1
GCD(225, 520, 490, 373) = 1
Given Input numbers are 225, 520, 490, 373
To find the GCD of numbers using factoring list out all the divisors of each number
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 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Greatest Common Divisior
We found the divisors of 225, 520, 490, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 520, 490, 373 is 1.
Therefore, GCD of numbers 225, 520, 490, 373 is 1
Given Input Data is 225, 520, 490, 373
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 373 is 373
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(225, 520) = 23400
GCD(225, 520) = ( 225 x 520 ) / 23400
GCD(225, 520) = 117000 / 23400
GCD(225, 520) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 490) = 490
GCD(5, 490) = ( 5 x 490 ) / 490
GCD(5, 490) = 2450 / 490
GCD(5, 490) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 373) = 1865
GCD(5, 373) = ( 5 x 373 ) / 1865
GCD(5, 373) = 1865 / 1865
GCD(5, 373) = 1
GCD of 225, 520, 490, 373 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 520, 490, 373?
GCD of 225, 520, 490, 373 is 1
2. Where do I get the detailed procedure to find GCD of 225, 520, 490, 373?
You can find a detailed procedure to find GCD of 225, 520, 490, 373 on our page.
3. How to find GCD of 225, 520, 490, 373 on a calculator?
You can find the GCD of 225, 520, 490, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.