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 849, 970, 38, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 849, 970, 38, 384 is 1
GCD(849, 970, 38, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 849, 970, 38, 384 is 1
GCD(849, 970, 38, 384) = 1
Given Input numbers are 849, 970, 38, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
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 849, 970, 38, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 970, 38, 384 is 1.
Therefore, GCD of numbers 849, 970, 38, 384 is 1
Given Input Data is 849, 970, 38, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 849 is 3 x 283
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 38 is 2 x 19
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(849, 970) = 823530
GCD(849, 970) = ( 849 x 970 ) / 823530
GCD(849, 970) = 823530 / 823530
GCD(849, 970) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 849, 970, 38, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 849, 970, 38, 384?
GCD of 849, 970, 38, 384 is 1
2. Where do I get the detailed procedure to find GCD of 849, 970, 38, 384?
You can find a detailed procedure to find GCD of 849, 970, 38, 384 on our page.
3. How to find GCD of 849, 970, 38, 384 on a calculator?
You can find the GCD of 849, 970, 38, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.