GCD of 876, 209, 414, 584 Calculator

Given Input numbers are 876, 209, 414, 584

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 876, 209, 414, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 209, 414, 584 is 1.

Therefore, GCD of numbers 876, 209, 414, 584 is 1

Given Input Data is 876, 209, 414, 584

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 209 is 11 x 19

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(876, 209) = 183084

GCD(876, 209) = ( 876 x 209 ) / 183084

GCD(876, 209) = 183084 / 183084

GCD(876, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 876, 209, 414, 584 is 1

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1. What is the GCD of 876, 209, 414, 584?

GCD of 876, 209, 414, 584 is 1

2. Where do I get the detailed procedure to find GCD of 876, 209, 414, 584?

You can find a detailed procedure to find GCD of 876, 209, 414, 584 on our page.

3. How to find GCD of 876, 209, 414, 584 on a calculator?

You can find the GCD of 876, 209, 414, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.