GCD of 870, 234, 313, 919 Calculator

Given Input numbers are 870, 234, 313, 919

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 870, 234, 313, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 234, 313, 919 is 1.

Therefore, GCD of numbers 870, 234, 313, 919 is 1

Given Input Data is 870, 234, 313, 919

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 234 is 2 x 3 x 3 x 13

Prime Factorization of 313 is 313

Prime Factorization of 919 is 919

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, 234) = 33930

GCD(870, 234) = ( 870 x 234 ) / 33930

GCD(870, 234) = 203580 / 33930

GCD(870, 234) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 313

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

LCM(6, 313) = 1878

GCD(6, 313) = ( 6 x 313 ) / 1878

GCD(6, 313) = 1878 / 1878

GCD(6, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 870, 234, 313, 919 is 1

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1. What is the GCD of 870, 234, 313, 919?

GCD of 870, 234, 313, 919 is 1

2. Where do I get the detailed procedure to find GCD of 870, 234, 313, 919?

You can find a detailed procedure to find GCD of 870, 234, 313, 919 on our page.

3. How to find GCD of 870, 234, 313, 919 on a calculator?

You can find the GCD of 870, 234, 313, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.