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 63, 357, 287, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 357, 287, 384 is 1
GCD(63, 357, 287, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 357, 287, 384 is 1
GCD(63, 357, 287, 384) = 1
Given Input numbers are 63, 357, 287, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 63, 357, 287, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 357, 287, 384 is 1.
Therefore, GCD of numbers 63, 357, 287, 384 is 1
Given Input Data is 63, 357, 287, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 287 is 7 x 41
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(63, 357) = 1071
GCD(63, 357) = ( 63 x 357 ) / 1071
GCD(63, 357) = 22491 / 1071
GCD(63, 357) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 287) = 861
GCD(21, 287) = ( 21 x 287 ) / 861
GCD(21, 287) = 6027 / 861
GCD(21, 287) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 384) = 2688
GCD(7, 384) = ( 7 x 384 ) / 2688
GCD(7, 384) = 2688 / 2688
GCD(7, 384) = 1
GCD of 63, 357, 287, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 357, 287, 384?
GCD of 63, 357, 287, 384 is 1
2. Where do I get the detailed procedure to find GCD of 63, 357, 287, 384?
You can find a detailed procedure to find GCD of 63, 357, 287, 384 on our page.
3. How to find GCD of 63, 357, 287, 384 on a calculator?
You can find the GCD of 63, 357, 287, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.