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 645, 410, 62, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 410, 62, 225 is 1
GCD(645, 410, 62, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 410, 62, 225 is 1
GCD(645, 410, 62, 225) = 1
Given Input numbers are 645, 410, 62, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
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
Greatest Common Divisior
We found the divisors of 645, 410, 62, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 410, 62, 225 is 1.
Therefore, GCD of numbers 645, 410, 62, 225 is 1
Given Input Data is 645, 410, 62, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 62 is 2 x 31
Prime Factorization of 225 is 3 x 3 x 5 x 5
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(645, 410) = 52890
GCD(645, 410) = ( 645 x 410 ) / 52890
GCD(645, 410) = 264450 / 52890
GCD(645, 410) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 62) = 310
GCD(5, 62) = ( 5 x 62 ) / 310
GCD(5, 62) = 310 / 310
GCD(5, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 645, 410, 62, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 410, 62, 225?
GCD of 645, 410, 62, 225 is 1
2. Where do I get the detailed procedure to find GCD of 645, 410, 62, 225?
You can find a detailed procedure to find GCD of 645, 410, 62, 225 on our page.
3. How to find GCD of 645, 410, 62, 225 on a calculator?
You can find the GCD of 645, 410, 62, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.