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 862, 786, 460, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 862, 786, 460, 225 is 1
GCD(862, 786, 460, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 862, 786, 460, 225 is 1
GCD(862, 786, 460, 225) = 1
Given Input numbers are 862, 786, 460, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 862, 786, 460, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 786, 460, 225 is 1.
Therefore, GCD of numbers 862, 786, 460, 225 is 1
Given Input Data is 862, 786, 460, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 862 is 2 x 431
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 460 is 2 x 2 x 5 x 23
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(862, 786) = 338766
GCD(862, 786) = ( 862 x 786 ) / 338766
GCD(862, 786) = 677532 / 338766
GCD(862, 786) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
GCD(2, 460) = 920 / 460
GCD(2, 460) = 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 862, 786, 460, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 862, 786, 460, 225?
GCD of 862, 786, 460, 225 is 1
2. Where do I get the detailed procedure to find GCD of 862, 786, 460, 225?
You can find a detailed procedure to find GCD of 862, 786, 460, 225 on our page.
3. How to find GCD of 862, 786, 460, 225 on a calculator?
You can find the GCD of 862, 786, 460, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.