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 75, 483, 952, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 483, 952, 386 is 1
GCD(75, 483, 952, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 483, 952, 386 is 1
GCD(75, 483, 952, 386) = 1
Given Input numbers are 75, 483, 952, 386
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 75, 483, 952, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 483, 952, 386 is 1.
Therefore, GCD of numbers 75, 483, 952, 386 is 1
Given Input Data is 75, 483, 952, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 386 is 2 x 193
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(75, 483) = 12075
GCD(75, 483) = ( 75 x 483 ) / 12075
GCD(75, 483) = 36225 / 12075
GCD(75, 483) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 952) = 2856
GCD(3, 952) = ( 3 x 952 ) / 2856
GCD(3, 952) = 2856 / 2856
GCD(3, 952) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
GCD of 75, 483, 952, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 483, 952, 386?
GCD of 75, 483, 952, 386 is 1
2. Where do I get the detailed procedure to find GCD of 75, 483, 952, 386?
You can find a detailed procedure to find GCD of 75, 483, 952, 386 on our page.
3. How to find GCD of 75, 483, 952, 386 on a calculator?
You can find the GCD of 75, 483, 952, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.