GCD of 390, 654, 91, 784 Calculator

Given Input numbers are 390, 654, 91, 784

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 390, 654, 91, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 654, 91, 784 is 1.

Therefore, GCD of numbers 390, 654, 91, 784 is 1

Given Input Data is 390, 654, 91, 784

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 654 is 2 x 3 x 109

Prime Factorization of 91 is 7 x 13

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(390, 654) = 42510

GCD(390, 654) = ( 390 x 654 ) / 42510

GCD(390, 654) = 255060 / 42510

GCD(390, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 91

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

LCM(6, 91) = 546

GCD(6, 91) = ( 6 x 91 ) / 546

GCD(6, 91) = 546 / 546

GCD(6, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 390, 654, 91, 784 is 1

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1. What is the GCD of 390, 654, 91, 784?

GCD of 390, 654, 91, 784 is 1

2. Where do I get the detailed procedure to find GCD of 390, 654, 91, 784?

You can find a detailed procedure to find GCD of 390, 654, 91, 784 on our page.

3. How to find GCD of 390, 654, 91, 784 on a calculator?

You can find the GCD of 390, 654, 91, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.