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 417, 176, 20, 476 i.e. 1 largest integer that divides all the numbers equally.
GCD of 417, 176, 20, 476 is 1
GCD(417, 176, 20, 476) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 417, 176, 20, 476 is 1
GCD(417, 176, 20, 476) = 1
Given Input numbers are 417, 176, 20, 476
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Greatest Common Divisior
We found the divisors of 417, 176, 20, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 176, 20, 476 is 1.
Therefore, GCD of numbers 417, 176, 20, 476 is 1
Given Input Data is 417, 176, 20, 476
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 417 is 3 x 139
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 476 is 2 x 2 x 7 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(417, 176) = 73392
GCD(417, 176) = ( 417 x 176 ) / 73392
GCD(417, 176) = 73392 / 73392
GCD(417, 176) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 476) = 476
GCD(1, 476) = ( 1 x 476 ) / 476
GCD(1, 476) = 476 / 476
GCD(1, 476) = 1
GCD of 417, 176, 20, 476 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 417, 176, 20, 476?
GCD of 417, 176, 20, 476 is 1
2. Where do I get the detailed procedure to find GCD of 417, 176, 20, 476?
You can find a detailed procedure to find GCD of 417, 176, 20, 476 on our page.
3. How to find GCD of 417, 176, 20, 476 on a calculator?
You can find the GCD of 417, 176, 20, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.