GCD of 272, 464, 292 Calculator

Given Input numbers are 272, 464, 292

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 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 272, 464, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 464, 292 is 4.

Therefore, GCD of numbers 272, 464, 292 is 4

Given Input Data is 272, 464, 292

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 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 292 is 2 x 2 x 73

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 464) = 7888

GCD(272, 464) = ( 272 x 464 ) / 7888

GCD(272, 464) = 126208 / 7888

GCD(272, 464) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 292

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

LCM(16, 292) = 1168

GCD(16, 292) = ( 16 x 292 ) / 1168

GCD(16, 292) = 4672 / 1168

GCD(16, 292) = 4

GCD of 272, 464, 292 is 4

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1. What is the GCD of 272, 464, 292?

GCD of 272, 464, 292 is 4

2. Where do I get the detailed procedure to find GCD of 272, 464, 292?

You can find a detailed procedure to find GCD of 272, 464, 292 on our page.

3. How to find GCD of 272, 464, 292 on a calculator?

You can find the GCD of 272, 464, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.