GCD of 784, 125, 35, 512 Calculator

Given Input numbers are 784, 125, 35, 512

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 784, 125, 35, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 125, 35, 512 is 1.

Therefore, GCD of numbers 784, 125, 35, 512 is 1

Given Input Data is 784, 125, 35, 512

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 125 is 5 x 5 x 5

Prime Factorization of 35 is 5 x 7

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 125) = 98000

GCD(784, 125) = ( 784 x 125 ) / 98000

GCD(784, 125) = 98000 / 98000

GCD(784, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 784, 125, 35, 512 is 1

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1. What is the GCD of 784, 125, 35, 512?

GCD of 784, 125, 35, 512 is 1

2. Where do I get the detailed procedure to find GCD of 784, 125, 35, 512?

You can find a detailed procedure to find GCD of 784, 125, 35, 512 on our page.

3. How to find GCD of 784, 125, 35, 512 on a calculator?

You can find the GCD of 784, 125, 35, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.