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 477, 200, 288, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 477, 200, 288, 179 is 1
GCD(477, 200, 288, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 477, 200, 288, 179 is 1
GCD(477, 200, 288, 179) = 1
Given Input numbers are 477, 200, 288, 179
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 477, 200, 288, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 200, 288, 179 is 1.
Therefore, GCD of numbers 477, 200, 288, 179 is 1
Given Input Data is 477, 200, 288, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 179 is 179
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(477, 200) = 95400
GCD(477, 200) = ( 477 x 200 ) / 95400
GCD(477, 200) = 95400 / 95400
GCD(477, 200) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
GCD of 477, 200, 288, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 477, 200, 288, 179?
GCD of 477, 200, 288, 179 is 1
2. Where do I get the detailed procedure to find GCD of 477, 200, 288, 179?
You can find a detailed procedure to find GCD of 477, 200, 288, 179 on our page.
3. How to find GCD of 477, 200, 288, 179 on a calculator?
You can find the GCD of 477, 200, 288, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.