GCD of 430, 287, 357, 144 Calculator

Given Input numbers are 430, 287, 357, 144

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

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 430, 287, 357, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 287, 357, 144 is 1.

Therefore, GCD of numbers 430, 287, 357, 144 is 1

Given Input Data is 430, 287, 357, 144

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

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 287 is 7 x 41

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(430, 287) = 123410

GCD(430, 287) = ( 430 x 287 ) / 123410

GCD(430, 287) = 123410 / 123410

GCD(430, 287) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 430, 287, 357, 144 is 1

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1. What is the GCD of 430, 287, 357, 144?

GCD of 430, 287, 357, 144 is 1

2. Where do I get the detailed procedure to find GCD of 430, 287, 357, 144?

You can find a detailed procedure to find GCD of 430, 287, 357, 144 on our page.

3. How to find GCD of 430, 287, 357, 144 on a calculator?

You can find the GCD of 430, 287, 357, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.