GCD of 359, 782, 40, 430 Calculator

Given Input numbers are 359, 782, 40, 430

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 359, 782, 40, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 782, 40, 430 is 1.

Therefore, GCD of numbers 359, 782, 40, 430 is 1

Given Input Data is 359, 782, 40, 430

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

Prime Factorization of 359 is 359

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(359, 782) = 280738

GCD(359, 782) = ( 359 x 782 ) / 280738

GCD(359, 782) = 280738 / 280738

GCD(359, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 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 359, 782, 40, 430 is 1

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• GCD of 564, 698, 30, 107
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• GCD of 839, 736, 97, 876

1. What is the GCD of 359, 782, 40, 430?

GCD of 359, 782, 40, 430 is 1

2. Where do I get the detailed procedure to find GCD of 359, 782, 40, 430?

You can find a detailed procedure to find GCD of 359, 782, 40, 430 on our page.

3. How to find GCD of 359, 782, 40, 430 on a calculator?

You can find the GCD of 359, 782, 40, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.