GCD of 347, 428, 371, 270 Calculator

Given Input numbers are 347, 428, 371, 270

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

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 347, 428, 371, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 428, 371, 270 is 1.

Therefore, GCD of numbers 347, 428, 371, 270 is 1

Given Input Data is 347, 428, 371, 270

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

Prime Factorization of 347 is 347

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 371 is 7 x 53

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(347, 428) = 148516

GCD(347, 428) = ( 347 x 428 ) / 148516

GCD(347, 428) = 148516 / 148516

GCD(347, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 347, 428, 371, 270 is 1

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1. What is the GCD of 347, 428, 371, 270?

GCD of 347, 428, 371, 270 is 1

2. Where do I get the detailed procedure to find GCD of 347, 428, 371, 270?

You can find a detailed procedure to find GCD of 347, 428, 371, 270 on our page.

3. How to find GCD of 347, 428, 371, 270 on a calculator?

You can find the GCD of 347, 428, 371, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.