GCD of 308, 402, 403, 782 Calculator

Given Input numbers are 308, 402, 403, 782

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 782

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

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

Greatest Common Divisior

We found the divisors of 308, 402, 403, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 402, 403, 782 is 1.

Therefore, GCD of numbers 308, 402, 403, 782 is 1

Given Input Data is 308, 402, 403, 782

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 403 is 13 x 31

Prime Factorization of 782 is 2 x 17 x 23

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(308, 402) = 61908

GCD(308, 402) = ( 308 x 402 ) / 61908

GCD(308, 402) = 123816 / 61908

GCD(308, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 403

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

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

GCD(2, 403) = 806 / 806

GCD(2, 403) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 308, 402, 403, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 832, 932, 559
• GCD of 861, 209, 453, 443
• GCD of 426, 490, 580, 335
• GCD of 885, 882, 151, 674
• GCD of 716, 886, 702, 105

1. What is the GCD of 308, 402, 403, 782?

GCD of 308, 402, 403, 782 is 1

2. Where do I get the detailed procedure to find GCD of 308, 402, 403, 782?

You can find a detailed procedure to find GCD of 308, 402, 403, 782 on our page.

3. How to find GCD of 308, 402, 403, 782 on a calculator?

You can find the GCD of 308, 402, 403, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.