GCD of 870, 576, 976, 159 Calculator

Given Input numbers are 870, 576, 976, 159

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 870, 576, 976, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 576, 976, 159 is 1.

Therefore, GCD of numbers 870, 576, 976, 159 is 1

Given Input Data is 870, 576, 976, 159

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 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 159 is 3 x 53

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, 576) = 83520

GCD(870, 576) = ( 870 x 576 ) / 83520

GCD(870, 576) = 501120 / 83520

GCD(870, 576) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 976

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

LCM(6, 976) = 2928

GCD(6, 976) = ( 6 x 976 ) / 2928

GCD(6, 976) = 5856 / 2928

GCD(6, 976) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 159

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

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

GCD(2, 159) = 318 / 318

GCD(2, 159) = 1

GCD of 870, 576, 976, 159 is 1

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1. What is the GCD of 870, 576, 976, 159?

GCD of 870, 576, 976, 159 is 1

2. Where do I get the detailed procedure to find GCD of 870, 576, 976, 159?

You can find a detailed procedure to find GCD of 870, 576, 976, 159 on our page.

3. How to find GCD of 870, 576, 976, 159 on a calculator?

You can find the GCD of 870, 576, 976, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.