GCD of 199, 546, 69, 870 Calculator

Given Input numbers are 199, 546, 69, 870

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 199, 546, 69, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 546, 69, 870 is 1.

Therefore, GCD of numbers 199, 546, 69, 870 is 1

Given Input Data is 199, 546, 69, 870

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

Prime Factorization of 199 is 199

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 69 is 3 x 23

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(199, 546) = 108654

GCD(199, 546) = ( 199 x 546 ) / 108654

GCD(199, 546) = 108654 / 108654

GCD(199, 546) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 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 199, 546, 69, 870 is 1

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• GCD of 952, 684, 35, 590
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1. What is the GCD of 199, 546, 69, 870?

GCD of 199, 546, 69, 870 is 1

2. Where do I get the detailed procedure to find GCD of 199, 546, 69, 870?

You can find a detailed procedure to find GCD of 199, 546, 69, 870 on our page.

3. How to find GCD of 199, 546, 69, 870 on a calculator?

You can find the GCD of 199, 546, 69, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.