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 384, 869, 49, 715 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 869, 49, 715 is 1
GCD(384, 869, 49, 715) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 869, 49, 715 is 1
GCD(384, 869, 49, 715) = 1
Given Input numbers are 384, 869, 49, 715
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Greatest Common Divisior
We found the divisors of 384, 869, 49, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 869, 49, 715 is 1.
Therefore, GCD of numbers 384, 869, 49, 715 is 1
Given Input Data is 384, 869, 49, 715
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 869 is 11 x 79
Prime Factorization of 49 is 7 x 7
Prime Factorization of 715 is 5 x 11 x 13
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(384, 869) = 333696
GCD(384, 869) = ( 384 x 869 ) / 333696
GCD(384, 869) = 333696 / 333696
GCD(384, 869) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 715
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 715) = 715
GCD(1, 715) = ( 1 x 715 ) / 715
GCD(1, 715) = 715 / 715
GCD(1, 715) = 1
GCD of 384, 869, 49, 715 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 869, 49, 715?
GCD of 384, 869, 49, 715 is 1
2. Where do I get the detailed procedure to find GCD of 384, 869, 49, 715?
You can find a detailed procedure to find GCD of 384, 869, 49, 715 on our page.
3. How to find GCD of 384, 869, 49, 715 on a calculator?
You can find the GCD of 384, 869, 49, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.