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 752, 146, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 146, 385 is 1
GCD(752, 146, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 146, 385 is 1
GCD(752, 146, 385) = 1
Given Input numbers are 752, 146, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 752, 146, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 146, 385 is 1.
Therefore, GCD of numbers 752, 146, 385 is 1
Given Input Data is 752, 146, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 146 is 2 x 73
Prime Factorization of 385 is 5 x 7 x 11
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(752, 146) = 54896
GCD(752, 146) = ( 752 x 146 ) / 54896
GCD(752, 146) = 109792 / 54896
GCD(752, 146) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 385) = 770
GCD(2, 385) = ( 2 x 385 ) / 770
GCD(2, 385) = 770 / 770
GCD(2, 385) = 1
GCD of 752, 146, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 146, 385?
GCD of 752, 146, 385 is 1
2. Where do I get the detailed procedure to find GCD of 752, 146, 385?
You can find a detailed procedure to find GCD of 752, 146, 385 on our page.
3. How to find GCD of 752, 146, 385 on a calculator?
You can find the GCD of 752, 146, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.