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 156, 630, 76, 384 i.e. 2 largest integer that divides all the numbers equally.
GCD of 156, 630, 76, 384 is 2
GCD(156, 630, 76, 384) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 630, 76, 384 is 2
GCD(156, 630, 76, 384) = 2
Given Input numbers are 156, 630, 76, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 156, 630, 76, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 630, 76, 384 is 2.
Therefore, GCD of numbers 156, 630, 76, 384 is 2
Given Input Data is 156, 630, 76, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(156, 630) = 16380
GCD(156, 630) = ( 156 x 630 ) / 16380
GCD(156, 630) = 98280 / 16380
GCD(156, 630) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 76) = 228
GCD(6, 76) = ( 6 x 76 ) / 228
GCD(6, 76) = 456 / 228
GCD(6, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
GCD(2, 384) = 768 / 384
GCD(2, 384) = 2
GCD of 156, 630, 76, 384 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 630, 76, 384?
GCD of 156, 630, 76, 384 is 2
2. Where do I get the detailed procedure to find GCD of 156, 630, 76, 384?
You can find a detailed procedure to find GCD of 156, 630, 76, 384 on our page.
3. How to find GCD of 156, 630, 76, 384 on a calculator?
You can find the GCD of 156, 630, 76, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.