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 895, 900, 892, 387 i.e. 1 largest integer that divides all the numbers equally.
GCD of 895, 900, 892, 387 is 1
GCD(895, 900, 892, 387) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 895, 900, 892, 387 is 1
GCD(895, 900, 892, 387) = 1
Given Input numbers are 895, 900, 892, 387
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Greatest Common Divisior
We found the divisors of 895, 900, 892, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 895, 900, 892, 387 is 1.
Therefore, GCD of numbers 895, 900, 892, 387 is 1
Given Input Data is 895, 900, 892, 387
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 895 is 5 x 179
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 387 is 3 x 3 x 43
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(895, 900) = 161100
GCD(895, 900) = ( 895 x 900 ) / 161100
GCD(895, 900) = 805500 / 161100
GCD(895, 900) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 892) = 4460
GCD(5, 892) = ( 5 x 892 ) / 4460
GCD(5, 892) = 4460 / 4460
GCD(5, 892) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
GCD of 895, 900, 892, 387 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 895, 900, 892, 387?
GCD of 895, 900, 892, 387 is 1
2. Where do I get the detailed procedure to find GCD of 895, 900, 892, 387?
You can find a detailed procedure to find GCD of 895, 900, 892, 387 on our page.
3. How to find GCD of 895, 900, 892, 387 on a calculator?
You can find the GCD of 895, 900, 892, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.