GCD of 390, 430, 740, 963 Calculator

Given Input numbers are 390, 430, 740, 963

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 390, 430, 740, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 430, 740, 963 is 1.

Therefore, GCD of numbers 390, 430, 740, 963 is 1

Given Input Data is 390, 430, 740, 963

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 963 is 3 x 3 x 107

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(390, 430) = 16770

GCD(390, 430) = ( 390 x 430 ) / 16770

GCD(390, 430) = 167700 / 16770

GCD(390, 430) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 740

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

LCM(10, 740) = 740

GCD(10, 740) = ( 10 x 740 ) / 740

GCD(10, 740) = 7400 / 740

GCD(10, 740) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 963

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

LCM(10, 963) = 9630

GCD(10, 963) = ( 10 x 963 ) / 9630

GCD(10, 963) = 9630 / 9630

GCD(10, 963) = 1

GCD of 390, 430, 740, 963 is 1

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1. What is the GCD of 390, 430, 740, 963?

GCD of 390, 430, 740, 963 is 1

2. Where do I get the detailed procedure to find GCD of 390, 430, 740, 963?

You can find a detailed procedure to find GCD of 390, 430, 740, 963 on our page.

3. How to find GCD of 390, 430, 740, 963 on a calculator?

You can find the GCD of 390, 430, 740, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.