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, 832, 10, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 900, 832, 10, 153 is 1
GCD(900, 832, 10, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 832, 10, 153 is 1
GCD(900, 832, 10, 153) = 1
Given Input numbers are 900, 832, 10, 153
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 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 900, 832, 10, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 832, 10, 153 is 1.
Therefore, GCD of numbers 900, 832, 10, 153 is 1
Given Input Data is 900, 832, 10, 153
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 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 10 is 2 x 5
Prime Factorization of 153 is 3 x 3 x 17
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, 832) = 187200
GCD(900, 832) = ( 900 x 832 ) / 187200
GCD(900, 832) = 748800 / 187200
GCD(900, 832) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 10) = 20
GCD(4, 10) = ( 4 x 10 ) / 20
GCD(4, 10) = 40 / 20
GCD(4, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 153) = 306
GCD(2, 153) = ( 2 x 153 ) / 306
GCD(2, 153) = 306 / 306
GCD(2, 153) = 1
GCD of 900, 832, 10, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 832, 10, 153?
GCD of 900, 832, 10, 153 is 1
2. Where do I get the detailed procedure to find GCD of 900, 832, 10, 153?
You can find a detailed procedure to find GCD of 900, 832, 10, 153 on our page.
3. How to find GCD of 900, 832, 10, 153 on a calculator?
You can find the GCD of 900, 832, 10, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.