GCD of 784, 785, 380, 640 Calculator

Given Input numbers are 784, 785, 380, 640

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

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 784, 785, 380, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 785, 380, 640 is 1.

Therefore, GCD of numbers 784, 785, 380, 640 is 1

Given Input Data is 784, 785, 380, 640

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 785 is 5 x 157

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(784, 785) = 615440

GCD(784, 785) = ( 784 x 785 ) / 615440

GCD(784, 785) = 615440 / 615440

GCD(784, 785) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 784, 785, 380, 640 is 1

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1. What is the GCD of 784, 785, 380, 640?

GCD of 784, 785, 380, 640 is 1

2. Where do I get the detailed procedure to find GCD of 784, 785, 380, 640?

You can find a detailed procedure to find GCD of 784, 785, 380, 640 on our page.

3. How to find GCD of 784, 785, 380, 640 on a calculator?

You can find the GCD of 784, 785, 380, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.