GCD of 208, 724, 109, 505 Calculator

Given Input numbers are 208, 724, 109, 505

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 109

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

1, 109

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 208, 724, 109, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 724, 109, 505 is 1.

Therefore, GCD of numbers 208, 724, 109, 505 is 1

Given Input Data is 208, 724, 109, 505

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 109 is 109

Prime Factorization of 505 is 5 x 101

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(208, 724) = 37648

GCD(208, 724) = ( 208 x 724 ) / 37648

GCD(208, 724) = 150592 / 37648

GCD(208, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 109

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

LCM(4, 109) = 436

GCD(4, 109) = ( 4 x 109 ) / 436

GCD(4, 109) = 436 / 436

GCD(4, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 208, 724, 109, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 183, 434, 836
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• GCD of 687, 294, 331, 790

1. What is the GCD of 208, 724, 109, 505?

GCD of 208, 724, 109, 505 is 1

2. Where do I get the detailed procedure to find GCD of 208, 724, 109, 505?

You can find a detailed procedure to find GCD of 208, 724, 109, 505 on our page.

3. How to find GCD of 208, 724, 109, 505 on a calculator?

You can find the GCD of 208, 724, 109, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.