GCD of 272, 942, 44, 774 Calculator

Given Input numbers are 272, 942, 44, 774

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 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 272, 942, 44, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 942, 44, 774 is 2.

Therefore, GCD of numbers 272, 942, 44, 774 is 2

Given Input Data is 272, 942, 44, 774

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 942 is 2 x 3 x 157

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 774 is 2 x 3 x 3 x 43

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, 942) = 128112

GCD(272, 942) = ( 272 x 942 ) / 128112

GCD(272, 942) = 256224 / 128112

GCD(272, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

GCD of 272, 942, 44, 774 is 2

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1. What is the GCD of 272, 942, 44, 774?

GCD of 272, 942, 44, 774 is 2

2. Where do I get the detailed procedure to find GCD of 272, 942, 44, 774?

You can find a detailed procedure to find GCD of 272, 942, 44, 774 on our page.

3. How to find GCD of 272, 942, 44, 774 on a calculator?

You can find the GCD of 272, 942, 44, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.