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, 307, 42, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 476, 307, 42, 152 is 1
GCD(476, 307, 42, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 307, 42, 152 is 1
GCD(476, 307, 42, 152) = 1
Given Input numbers are 476, 307, 42, 152
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 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 476, 307, 42, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 307, 42, 152 is 1.
Therefore, GCD of numbers 476, 307, 42, 152 is 1
Given Input Data is 476, 307, 42, 152
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 307 is 307
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 152 is 2 x 2 x 2 x 19
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, 307) = 146132
GCD(476, 307) = ( 476 x 307 ) / 146132
GCD(476, 307) = 146132 / 146132
GCD(476, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 476, 307, 42, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 307, 42, 152?
GCD of 476, 307, 42, 152 is 1
2. Where do I get the detailed procedure to find GCD of 476, 307, 42, 152?
You can find a detailed procedure to find GCD of 476, 307, 42, 152 on our page.
3. How to find GCD of 476, 307, 42, 152 on a calculator?
You can find the GCD of 476, 307, 42, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.