GCD of 870, 574, 78, 339 Calculator

Given Input numbers are 870, 574, 78, 339

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 870, 574, 78, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 574, 78, 339 is 1.

Therefore, GCD of numbers 870, 574, 78, 339 is 1

Given Input Data is 870, 574, 78, 339

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 574 is 2 x 7 x 41

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 339 is 3 x 113

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, 574) = 249690

GCD(870, 574) = ( 870 x 574 ) / 249690

GCD(870, 574) = 499380 / 249690

GCD(870, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 339

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

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

GCD(2, 339) = 678 / 678

GCD(2, 339) = 1

GCD of 870, 574, 78, 339 is 1

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• GCD of 464, 793, 92, 507
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1. What is the GCD of 870, 574, 78, 339?

GCD of 870, 574, 78, 339 is 1

2. Where do I get the detailed procedure to find GCD of 870, 574, 78, 339?

You can find a detailed procedure to find GCD of 870, 574, 78, 339 on our page.

3. How to find GCD of 870, 574, 78, 339 on a calculator?

You can find the GCD of 870, 574, 78, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.