GCD of 392, 780, 265, 402 Calculator

Given Input numbers are 392, 780, 265, 402

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 402

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

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

Greatest Common Divisior

We found the divisors of 392, 780, 265, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 780, 265, 402 is 1.

Therefore, GCD of numbers 392, 780, 265, 402 is 1

Given Input Data is 392, 780, 265, 402

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 265 is 5 x 53

Prime Factorization of 402 is 2 x 3 x 67

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(392, 780) = 76440

GCD(392, 780) = ( 392 x 780 ) / 76440

GCD(392, 780) = 305760 / 76440

GCD(392, 780) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 265

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

LCM(4, 265) = 1060

GCD(4, 265) = ( 4 x 265 ) / 1060

GCD(4, 265) = 1060 / 1060

GCD(4, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 392, 780, 265, 402 is 1

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1. What is the GCD of 392, 780, 265, 402?

GCD of 392, 780, 265, 402 is 1

2. Where do I get the detailed procedure to find GCD of 392, 780, 265, 402?

You can find a detailed procedure to find GCD of 392, 780, 265, 402 on our page.

3. How to find GCD of 392, 780, 265, 402 on a calculator?

You can find the GCD of 392, 780, 265, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.