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 272, 940, 38, 944 i.e. 2 largest integer that divides all the numbers equally.
GCD of 272, 940, 38, 944 is 2
GCD(272, 940, 38, 944) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 940, 38, 944 is 2
GCD(272, 940, 38, 944) = 2
Given Input numbers are 272, 940, 38, 944
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Greatest Common Divisior
We found the divisors of 272, 940, 38, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 940, 38, 944 is 2.
Therefore, GCD of numbers 272, 940, 38, 944 is 2
Given Input Data is 272, 940, 38, 944
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 38 is 2 x 19
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(272, 940) = 63920
GCD(272, 940) = ( 272 x 940 ) / 63920
GCD(272, 940) = 255680 / 63920
GCD(272, 940) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 38) = 76
GCD(4, 38) = ( 4 x 38 ) / 76
GCD(4, 38) = 152 / 76
GCD(4, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 944) = 944
GCD(2, 944) = ( 2 x 944 ) / 944
GCD(2, 944) = 1888 / 944
GCD(2, 944) = 2
GCD of 272, 940, 38, 944 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 940, 38, 944?
GCD of 272, 940, 38, 944 is 2
2. Where do I get the detailed procedure to find GCD of 272, 940, 38, 944?
You can find a detailed procedure to find GCD of 272, 940, 38, 944 on our page.
3. How to find GCD of 272, 940, 38, 944 on a calculator?
You can find the GCD of 272, 940, 38, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.