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 180, 804, 98, 900 i.e. 2 largest integer that divides all the numbers equally.
GCD of 180, 804, 98, 900 is 2
GCD(180, 804, 98, 900) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 804, 98, 900 is 2
GCD(180, 804, 98, 900) = 2
Given Input numbers are 180, 804, 98, 900
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
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
Greatest Common Divisior
We found the divisors of 180, 804, 98, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 804, 98, 900 is 2.
Therefore, GCD of numbers 180, 804, 98, 900 is 2
Given Input Data is 180, 804, 98, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(180, 804) = 12060
GCD(180, 804) = ( 180 x 804 ) / 12060
GCD(180, 804) = 144720 / 12060
GCD(180, 804) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 98) = 588
GCD(12, 98) = ( 12 x 98 ) / 588
GCD(12, 98) = 1176 / 588
GCD(12, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
GCD(2, 900) = 1800 / 900
GCD(2, 900) = 2
GCD of 180, 804, 98, 900 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 804, 98, 900?
GCD of 180, 804, 98, 900 is 2
2. Where do I get the detailed procedure to find GCD of 180, 804, 98, 900?
You can find a detailed procedure to find GCD of 180, 804, 98, 900 on our page.
3. How to find GCD of 180, 804, 98, 900 on a calculator?
You can find the GCD of 180, 804, 98, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.