GCD of 147, 257, 314, 189 Calculator

Given Input numbers are 147, 257, 314, 189

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 147, 257, 314, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 257, 314, 189 is 1.

Therefore, GCD of numbers 147, 257, 314, 189 is 1

Given Input Data is 147, 257, 314, 189

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 257 is 257

Prime Factorization of 314 is 2 x 157

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(147, 257) = 37779

GCD(147, 257) = ( 147 x 257 ) / 37779

GCD(147, 257) = 37779 / 37779

GCD(147, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 147, 257, 314, 189 is 1

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1. What is the GCD of 147, 257, 314, 189?

GCD of 147, 257, 314, 189 is 1

2. Where do I get the detailed procedure to find GCD of 147, 257, 314, 189?

You can find a detailed procedure to find GCD of 147, 257, 314, 189 on our page.

3. How to find GCD of 147, 257, 314, 189 on a calculator?

You can find the GCD of 147, 257, 314, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.