GCD of 357, 314, 243, 430 Calculator

Given Input numbers are 357, 314, 243, 430

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

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 314

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

1, 2, 157, 314

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 430

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

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

Greatest Common Divisior

We found the divisors of 357, 314, 243, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 314, 243, 430 is 1.

Therefore, GCD of numbers 357, 314, 243, 430 is 1

Given Input Data is 357, 314, 243, 430

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 314 is 2 x 157

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 430 is 2 x 5 x 43

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(357, 314) = 112098

GCD(357, 314) = ( 357 x 314 ) / 112098

GCD(357, 314) = 112098 / 112098

GCD(357, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 430

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

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

GCD(1, 430) = 430 / 430

GCD(1, 430) = 1

GCD of 357, 314, 243, 430 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 353, 282, 634
• GCD of 933, 666, 946, 565
• GCD of 406, 677, 843, 256
• GCD of 502, 594, 924, 913
• GCD of 189, 585, 612, 373

1. What is the GCD of 357, 314, 243, 430?

GCD of 357, 314, 243, 430 is 1

2. Where do I get the detailed procedure to find GCD of 357, 314, 243, 430?

You can find a detailed procedure to find GCD of 357, 314, 243, 430 on our page.

3. How to find GCD of 357, 314, 243, 430 on a calculator?

You can find the GCD of 357, 314, 243, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.