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, 755, 71, 630 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 755, 71, 630 is 1
GCD(225, 755, 71, 630) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 755, 71, 630 is 1
GCD(225, 755, 71, 630) = 1
Given Input numbers are 225, 755, 71, 630
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 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Greatest Common Divisior
We found the divisors of 225, 755, 71, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 755, 71, 630 is 1.
Therefore, GCD of numbers 225, 755, 71, 630 is 1
Given Input Data is 225, 755, 71, 630
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 755 is 5 x 151
Prime Factorization of 71 is 71
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
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, 755) = 33975
GCD(225, 755) = ( 225 x 755 ) / 33975
GCD(225, 755) = 169875 / 33975
GCD(225, 755) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 71) = 355
GCD(5, 71) = ( 5 x 71 ) / 355
GCD(5, 71) = 355 / 355
GCD(5, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 630
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 630) = 630
GCD(1, 630) = ( 1 x 630 ) / 630
GCD(1, 630) = 630 / 630
GCD(1, 630) = 1
GCD of 225, 755, 71, 630 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 755, 71, 630?
GCD of 225, 755, 71, 630 is 1
2. Where do I get the detailed procedure to find GCD of 225, 755, 71, 630?
You can find a detailed procedure to find GCD of 225, 755, 71, 630 on our page.
3. How to find GCD of 225, 755, 71, 630 on a calculator?
You can find the GCD of 225, 755, 71, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.