GCD of 448, 272, 267, 374 Calculator

Given Input numbers are 448, 272, 267, 374

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 448, 272, 267, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 272, 267, 374 is 1.

Therefore, GCD of numbers 448, 272, 267, 374 is 1

Given Input Data is 448, 272, 267, 374

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 267 is 3 x 89

Prime Factorization of 374 is 2 x 11 x 17

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(448, 272) = 7616

GCD(448, 272) = ( 448 x 272 ) / 7616

GCD(448, 272) = 121856 / 7616

GCD(448, 272) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 267

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

LCM(16, 267) = 4272

GCD(16, 267) = ( 16 x 267 ) / 4272

GCD(16, 267) = 4272 / 4272

GCD(16, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 448, 272, 267, 374 is 1

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1. What is the GCD of 448, 272, 267, 374?

GCD of 448, 272, 267, 374 is 1

2. Where do I get the detailed procedure to find GCD of 448, 272, 267, 374?

You can find a detailed procedure to find GCD of 448, 272, 267, 374 on our page.

3. How to find GCD of 448, 272, 267, 374 on a calculator?

You can find the GCD of 448, 272, 267, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.