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, 683, 972, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 683, 972, 126 is 1
GCD(384, 683, 972, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 683, 972, 126 is 1
GCD(384, 683, 972, 126) = 1
Given Input numbers are 384, 683, 972, 126
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 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Greatest Common Divisior
We found the divisors of 384, 683, 972, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 683, 972, 126 is 1.
Therefore, GCD of numbers 384, 683, 972, 126 is 1
Given Input Data is 384, 683, 972, 126
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 683 is 683
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 126 is 2 x 3 x 3 x 7
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, 683) = 262272
GCD(384, 683) = ( 384 x 683 ) / 262272
GCD(384, 683) = 262272 / 262272
GCD(384, 683) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
GCD of 384, 683, 972, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 683, 972, 126?
GCD of 384, 683, 972, 126 is 1
2. Where do I get the detailed procedure to find GCD of 384, 683, 972, 126?
You can find a detailed procedure to find GCD of 384, 683, 972, 126 on our page.
3. How to find GCD of 384, 683, 972, 126 on a calculator?
You can find the GCD of 384, 683, 972, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.