GCD of 870, 393, 15, 347 Calculator

Given Input numbers are 870, 393, 15, 347

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 870, 393, 15, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 393, 15, 347 is 1.

Therefore, GCD of numbers 870, 393, 15, 347 is 1

Given Input Data is 870, 393, 15, 347

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 393 is 3 x 131

Prime Factorization of 15 is 3 x 5

Prime Factorization of 347 is 347

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, 393) = 113970

GCD(870, 393) = ( 870 x 393 ) / 113970

GCD(870, 393) = 341910 / 113970

GCD(870, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 347

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

LCM(3, 347) = 1041

GCD(3, 347) = ( 3 x 347 ) / 1041

GCD(3, 347) = 1041 / 1041

GCD(3, 347) = 1

GCD of 870, 393, 15, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 690, 22, 595
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• GCD of 351, 368, 26, 307
• GCD of 590, 337, 57, 343
• GCD of 923, 577, 80, 406

1. What is the GCD of 870, 393, 15, 347?

GCD of 870, 393, 15, 347 is 1

2. Where do I get the detailed procedure to find GCD of 870, 393, 15, 347?

You can find a detailed procedure to find GCD of 870, 393, 15, 347 on our page.

3. How to find GCD of 870, 393, 15, 347 on a calculator?

You can find the GCD of 870, 393, 15, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.