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 360, 388, 76, 474 i.e. 2 largest integer that divides all the numbers equally.
GCD of 360, 388, 76, 474 is 2
GCD(360, 388, 76, 474) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 388, 76, 474 is 2
GCD(360, 388, 76, 474) = 2
Given Input numbers are 360, 388, 76, 474
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 360, 388, 76, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 388, 76, 474 is 2.
Therefore, GCD of numbers 360, 388, 76, 474 is 2
Given Input Data is 360, 388, 76, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 474 is 2 x 3 x 79
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(360, 388) = 34920
GCD(360, 388) = ( 360 x 388 ) / 34920
GCD(360, 388) = 139680 / 34920
GCD(360, 388) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 76) = 76
GCD(4, 76) = ( 4 x 76 ) / 76
GCD(4, 76) = 304 / 76
GCD(4, 76) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 474) = 948
GCD(4, 474) = ( 4 x 474 ) / 948
GCD(4, 474) = 1896 / 948
GCD(4, 474) = 2
GCD of 360, 388, 76, 474 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 388, 76, 474?
GCD of 360, 388, 76, 474 is 2
2. Where do I get the detailed procedure to find GCD of 360, 388, 76, 474?
You can find a detailed procedure to find GCD of 360, 388, 76, 474 on our page.
3. How to find GCD of 360, 388, 76, 474 on a calculator?
You can find the GCD of 360, 388, 76, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.