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 380, 535, 48, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 535, 48, 936 is 1
GCD(380, 535, 48, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 535, 48, 936 is 1
GCD(380, 535, 48, 936) = 1
Given Input numbers are 380, 535, 48, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 380, 535, 48, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 535, 48, 936 is 1.
Therefore, GCD of numbers 380, 535, 48, 936 is 1
Given Input Data is 380, 535, 48, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 535 is 5 x 107
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(380, 535) = 40660
GCD(380, 535) = ( 380 x 535 ) / 40660
GCD(380, 535) = 203300 / 40660
GCD(380, 535) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 48) = 240
GCD(5, 48) = ( 5 x 48 ) / 240
GCD(5, 48) = 240 / 240
GCD(5, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 380, 535, 48, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 535, 48, 936?
GCD of 380, 535, 48, 936 is 1
2. Where do I get the detailed procedure to find GCD of 380, 535, 48, 936?
You can find a detailed procedure to find GCD of 380, 535, 48, 936 on our page.
3. How to find GCD of 380, 535, 48, 936 on a calculator?
You can find the GCD of 380, 535, 48, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.