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 48, 4, 75, 16 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 4, 75, 16 is 1
GCD(48, 4, 75, 16) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 4, 75, 16 is 1
GCD(48, 4, 75, 16) = 1
Given Input numbers are 48, 4, 75, 16
To find the GCD of numbers using factoring list out all the divisors of each number
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 4
List of positive integer divisors of 4 that divides 4 without a remainder.
1, 2, 4
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Greatest Common Divisior
We found the divisors of 48, 4, 75, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 4, 75, 16 is 1.
Therefore, GCD of numbers 48, 4, 75, 16 is 1
Given Input Data is 48, 4, 75, 16
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 4 is 2 x 2
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 16 is 2 x 2 x 2 x 2
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(48, 4) = 48
GCD(48, 4) = ( 48 x 4 ) / 48
GCD(48, 4) = 192 / 48
GCD(48, 4) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 75) = 300
GCD(4, 75) = ( 4 x 75 ) / 300
GCD(4, 75) = 300 / 300
GCD(4, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
GCD of 48, 4, 75, 16 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 4, 75, 16?
GCD of 48, 4, 75, 16 is 1
2. Where do I get the detailed procedure to find GCD of 48, 4, 75, 16?
You can find a detailed procedure to find GCD of 48, 4, 75, 16 on our page.
3. How to find GCD of 48, 4, 75, 16 on a calculator?
You can find the GCD of 48, 4, 75, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.