GCD of 520, 653, 787, 320 Calculator

Given Input numbers are 520, 653, 787, 320

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

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

Greatest Common Divisior

We found the divisors of 520, 653, 787, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 653, 787, 320 is 1.

Therefore, GCD of numbers 520, 653, 787, 320 is 1

Given Input Data is 520, 653, 787, 320

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 653 is 653

Prime Factorization of 787 is 787

Prime Factorization of 320 is 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(520, 653) = 339560

GCD(520, 653) = ( 520 x 653 ) / 339560

GCD(520, 653) = 339560 / 339560

GCD(520, 653) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 787

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

LCM(1, 787) = 787

GCD(1, 787) = ( 1 x 787 ) / 787

GCD(1, 787) = 787 / 787

GCD(1, 787) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 520, 653, 787, 320 is 1

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1. What is the GCD of 520, 653, 787, 320?

GCD of 520, 653, 787, 320 is 1

2. Where do I get the detailed procedure to find GCD of 520, 653, 787, 320?

You can find a detailed procedure to find GCD of 520, 653, 787, 320 on our page.

3. How to find GCD of 520, 653, 787, 320 on a calculator?

You can find the GCD of 520, 653, 787, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.