GCD of 870, 824, 48, 759 Calculator

Given Input numbers are 870, 824, 48, 759

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 870, 824, 48, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 824, 48, 759 is 1.

Therefore, GCD of numbers 870, 824, 48, 759 is 1

Given Input Data is 870, 824, 48, 759

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 824 is 2 x 2 x 2 x 103

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

Prime Factorization of 759 is 3 x 11 x 23

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, 824) = 358440

GCD(870, 824) = ( 870 x 824 ) / 358440

GCD(870, 824) = 716880 / 358440

GCD(870, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

GCD of 870, 824, 48, 759 is 1

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1. What is the GCD of 870, 824, 48, 759?

GCD of 870, 824, 48, 759 is 1

2. Where do I get the detailed procedure to find GCD of 870, 824, 48, 759?

You can find a detailed procedure to find GCD of 870, 824, 48, 759 on our page.

3. How to find GCD of 870, 824, 48, 759 on a calculator?

You can find the GCD of 870, 824, 48, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.