GCD of 209, 724, 50, 840 Calculator

Given Input numbers are 209, 724, 50, 840

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

Divisors of 209

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

1, 11, 19, 209

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 209, 724, 50, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 724, 50, 840 is 1.

Therefore, GCD of numbers 209, 724, 50, 840 is 1

Given Input Data is 209, 724, 50, 840

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(209, 724) = 151316

GCD(209, 724) = ( 209 x 724 ) / 151316

GCD(209, 724) = 151316 / 151316

GCD(209, 724) = 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 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 209, 724, 50, 840 is 1

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1. What is the GCD of 209, 724, 50, 840?

GCD of 209, 724, 50, 840 is 1

2. Where do I get the detailed procedure to find GCD of 209, 724, 50, 840?

You can find a detailed procedure to find GCD of 209, 724, 50, 840 on our page.

3. How to find GCD of 209, 724, 50, 840 on a calculator?

You can find the GCD of 209, 724, 50, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.