GCD of 109, 597, 50, 870 Calculator

Given Input numbers are 109, 597, 50, 870

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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

Greatest Common Divisior

We found the divisors of 109, 597, 50, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 597, 50, 870 is 1.

Therefore, GCD of numbers 109, 597, 50, 870 is 1

Given Input Data is 109, 597, 50, 870

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 109 is 109

Prime Factorization of 597 is 3 x 199

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 870 is 2 x 3 x 5 x 29

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(109, 597) = 65073

GCD(109, 597) = ( 109 x 597 ) / 65073

GCD(109, 597) = 65073 / 65073

GCD(109, 597) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 109, 597, 50, 870 is 1

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1. What is the GCD of 109, 597, 50, 870?

GCD of 109, 597, 50, 870 is 1

2. Where do I get the detailed procedure to find GCD of 109, 597, 50, 870?

You can find a detailed procedure to find GCD of 109, 597, 50, 870 on our page.

3. How to find GCD of 109, 597, 50, 870 on a calculator?

You can find the GCD of 109, 597, 50, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.