GCD of 870, 825, 48, 533 Calculator

Given Input numbers are 870, 825, 48, 533

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 870, 825, 48, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 825, 48, 533 is 1.

Therefore, GCD of numbers 870, 825, 48, 533 is 1

Given Input Data is 870, 825, 48, 533

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 533 is 13 x 41

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(870, 825) = 47850

GCD(870, 825) = ( 870 x 825 ) / 47850

GCD(870, 825) = 717750 / 47850

GCD(870, 825) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 48

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

LCM(15, 48) = 240

GCD(15, 48) = ( 15 x 48 ) / 240

GCD(15, 48) = 720 / 240

GCD(15, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 533

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

LCM(3, 533) = 1599

GCD(3, 533) = ( 3 x 533 ) / 1599

GCD(3, 533) = 1599 / 1599

GCD(3, 533) = 1

GCD of 870, 825, 48, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 489, 69, 592
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• GCD of 401, 354, 92, 727

1. What is the GCD of 870, 825, 48, 533?

GCD of 870, 825, 48, 533 is 1

2. Where do I get the detailed procedure to find GCD of 870, 825, 48, 533?

You can find a detailed procedure to find GCD of 870, 825, 48, 533 on our page.

3. How to find GCD of 870, 825, 48, 533 on a calculator?

You can find the GCD of 870, 825, 48, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.