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 860, 638, 48, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 860, 638, 48, 225 is 1
GCD(860, 638, 48, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 860, 638, 48, 225 is 1
GCD(860, 638, 48, 225) = 1
Given Input numbers are 860, 638, 48, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
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 860, 638, 48, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 638, 48, 225 is 1.
Therefore, GCD of numbers 860, 638, 48, 225 is 1
Given Input Data is 860, 638, 48, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
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(860, 638) = 274340
GCD(860, 638) = ( 860 x 638 ) / 274340
GCD(860, 638) = 548680 / 274340
GCD(860, 638) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
GCD(2, 225) = 450 / 450
GCD(2, 225) = 1
GCD of 860, 638, 48, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 860, 638, 48, 225?
GCD of 860, 638, 48, 225 is 1
2. Where do I get the detailed procedure to find GCD of 860, 638, 48, 225?
You can find a detailed procedure to find GCD of 860, 638, 48, 225 on our page.
3. How to find GCD of 860, 638, 48, 225 on a calculator?
You can find the GCD of 860, 638, 48, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.