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 368, 356, 932, 478 i.e. 2 largest integer that divides all the numbers equally.
GCD of 368, 356, 932, 478 is 2
GCD(368, 356, 932, 478) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 356, 932, 478 is 2
GCD(368, 356, 932, 478) = 2
Given Input numbers are 368, 356, 932, 478
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Greatest Common Divisior
We found the divisors of 368, 356, 932, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 356, 932, 478 is 2.
Therefore, GCD of numbers 368, 356, 932, 478 is 2
Given Input Data is 368, 356, 932, 478
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 478 is 2 x 239
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(368, 356) = 32752
GCD(368, 356) = ( 368 x 356 ) / 32752
GCD(368, 356) = 131008 / 32752
GCD(368, 356) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 932) = 932
GCD(4, 932) = ( 4 x 932 ) / 932
GCD(4, 932) = 3728 / 932
GCD(4, 932) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 478) = 956
GCD(4, 478) = ( 4 x 478 ) / 956
GCD(4, 478) = 1912 / 956
GCD(4, 478) = 2
GCD of 368, 356, 932, 478 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 356, 932, 478?
GCD of 368, 356, 932, 478 is 2
2. Where do I get the detailed procedure to find GCD of 368, 356, 932, 478?
You can find a detailed procedure to find GCD of 368, 356, 932, 478 on our page.
3. How to find GCD of 368, 356, 932, 478 on a calculator?
You can find the GCD of 368, 356, 932, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.