GCD of 302, 857, 448, 427 Calculator

Given Input numbers are 302, 857, 448, 427

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 302, 857, 448, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 857, 448, 427 is 1.

Therefore, GCD of numbers 302, 857, 448, 427 is 1

Given Input Data is 302, 857, 448, 427

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 857 is 857

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

Prime Factorization of 427 is 7 x 61

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(302, 857) = 258814

GCD(302, 857) = ( 302 x 857 ) / 258814

GCD(302, 857) = 258814 / 258814

GCD(302, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 302, 857, 448, 427 is 1

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1. What is the GCD of 302, 857, 448, 427?

GCD of 302, 857, 448, 427 is 1

2. Where do I get the detailed procedure to find GCD of 302, 857, 448, 427?

You can find a detailed procedure to find GCD of 302, 857, 448, 427 on our page.

3. How to find GCD of 302, 857, 448, 427 on a calculator?

You can find the GCD of 302, 857, 448, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.