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 900, 801, 47, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 900, 801, 47, 625 is 1
GCD(900, 801, 47, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 801, 47, 625 is 1
GCD(900, 801, 47, 625) = 1
Given Input numbers are 900, 801, 47, 625
To find the GCD of numbers using factoring list out all the divisors of each number
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 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 900, 801, 47, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 801, 47, 625 is 1.
Therefore, GCD of numbers 900, 801, 47, 625 is 1
Given Input Data is 900, 801, 47, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 47 is 47
Prime Factorization of 625 is 5 x 5 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(900, 801) = 80100
GCD(900, 801) = ( 900 x 801 ) / 80100
GCD(900, 801) = 720900 / 80100
GCD(900, 801) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 47) = 423
GCD(9, 47) = ( 9 x 47 ) / 423
GCD(9, 47) = 423 / 423
GCD(9, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 900, 801, 47, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 801, 47, 625?
GCD of 900, 801, 47, 625 is 1
2. Where do I get the detailed procedure to find GCD of 900, 801, 47, 625?
You can find a detailed procedure to find GCD of 900, 801, 47, 625 on our page.
3. How to find GCD of 900, 801, 47, 625 on a calculator?
You can find the GCD of 900, 801, 47, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.