GCD of 782, 315, 641, 416 Calculator

Given Input numbers are 782, 315, 641, 416

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

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 782, 315, 641, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 315, 641, 416 is 1.

Therefore, GCD of numbers 782, 315, 641, 416 is 1

Given Input Data is 782, 315, 641, 416

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 641 is 641

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(782, 315) = 246330

GCD(782, 315) = ( 782 x 315 ) / 246330

GCD(782, 315) = 246330 / 246330

GCD(782, 315) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 641

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

LCM(1, 641) = 641

GCD(1, 641) = ( 1 x 641 ) / 641

GCD(1, 641) = 641 / 641

GCD(1, 641) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 782, 315, 641, 416 is 1

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1. What is the GCD of 782, 315, 641, 416?

GCD of 782, 315, 641, 416 is 1

2. Where do I get the detailed procedure to find GCD of 782, 315, 641, 416?

You can find a detailed procedure to find GCD of 782, 315, 641, 416 on our page.

3. How to find GCD of 782, 315, 641, 416 on a calculator?

You can find the GCD of 782, 315, 641, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.