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 476, 116, 37, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 476, 116, 37, 168 is 1
GCD(476, 116, 37, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 116, 37, 168 is 1
GCD(476, 116, 37, 168) = 1
Given Input numbers are 476, 116, 37, 168
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 476, 116, 37, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 116, 37, 168 is 1.
Therefore, GCD of numbers 476, 116, 37, 168 is 1
Given Input Data is 476, 116, 37, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 37 is 37
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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(476, 116) = 13804
GCD(476, 116) = ( 476 x 116 ) / 13804
GCD(476, 116) = 55216 / 13804
GCD(476, 116) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 37) = 148
GCD(4, 37) = ( 4 x 37 ) / 148
GCD(4, 37) = 148 / 148
GCD(4, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 476, 116, 37, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 116, 37, 168?
GCD of 476, 116, 37, 168 is 1
2. Where do I get the detailed procedure to find GCD of 476, 116, 37, 168?
You can find a detailed procedure to find GCD of 476, 116, 37, 168 on our page.
3. How to find GCD of 476, 116, 37, 168 on a calculator?
You can find the GCD of 476, 116, 37, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.