GCD of 480, 520, 732, 869 Calculator

Given Input numbers are 480, 520, 732, 869

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 480, 520, 732, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 520, 732, 869 is 1.

Therefore, GCD of numbers 480, 520, 732, 869 is 1

Given Input Data is 480, 520, 732, 869

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 869 is 11 x 79

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(480, 520) = 6240

GCD(480, 520) = ( 480 x 520 ) / 6240

GCD(480, 520) = 249600 / 6240

GCD(480, 520) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 732

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

LCM(40, 732) = 7320

GCD(40, 732) = ( 40 x 732 ) / 7320

GCD(40, 732) = 29280 / 7320

GCD(40, 732) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 869

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

LCM(4, 869) = 3476

GCD(4, 869) = ( 4 x 869 ) / 3476

GCD(4, 869) = 3476 / 3476

GCD(4, 869) = 1

GCD of 480, 520, 732, 869 is 1

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1. What is the GCD of 480, 520, 732, 869?

GCD of 480, 520, 732, 869 is 1

2. Where do I get the detailed procedure to find GCD of 480, 520, 732, 869?

You can find a detailed procedure to find GCD of 480, 520, 732, 869 on our page.

3. How to find GCD of 480, 520, 732, 869 on a calculator?

You can find the GCD of 480, 520, 732, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.