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 745, 477, 378, 288 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 477, 378, 288 is 1
GCD(745, 477, 378, 288) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 477, 378, 288 is 1
GCD(745, 477, 378, 288) = 1
Given Input numbers are 745, 477, 378, 288
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Greatest Common Divisior
We found the divisors of 745, 477, 378, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 477, 378, 288 is 1.
Therefore, GCD of numbers 745, 477, 378, 288 is 1
Given Input Data is 745, 477, 378, 288
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
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(745, 477) = 355365
GCD(745, 477) = ( 745 x 477 ) / 355365
GCD(745, 477) = 355365 / 355365
GCD(745, 477) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
GCD of 745, 477, 378, 288 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 477, 378, 288?
GCD of 745, 477, 378, 288 is 1
2. Where do I get the detailed procedure to find GCD of 745, 477, 378, 288?
You can find a detailed procedure to find GCD of 745, 477, 378, 288 on our page.
3. How to find GCD of 745, 477, 378, 288 on a calculator?
You can find the GCD of 745, 477, 378, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.