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 38, 960, 155, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 960, 155, 924 is 1
GCD(38, 960, 155, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 960, 155, 924 is 1
GCD(38, 960, 155, 924) = 1
Given Input numbers are 38, 960, 155, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 38, 960, 155, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 960, 155, 924 is 1.
Therefore, GCD of numbers 38, 960, 155, 924 is 1
Given Input Data is 38, 960, 155, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 155 is 5 x 31
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(38, 960) = 18240
GCD(38, 960) = ( 38 x 960 ) / 18240
GCD(38, 960) = 36480 / 18240
GCD(38, 960) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 155) = 310
GCD(2, 155) = ( 2 x 155 ) / 310
GCD(2, 155) = 310 / 310
GCD(2, 155) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 38, 960, 155, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 960, 155, 924?
GCD of 38, 960, 155, 924 is 1
2. Where do I get the detailed procedure to find GCD of 38, 960, 155, 924?
You can find a detailed procedure to find GCD of 38, 960, 155, 924 on our page.
3. How to find GCD of 38, 960, 155, 924 on a calculator?
You can find the GCD of 38, 960, 155, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.