GCD of 250, 534, 703, 209 Calculator

Given Input numbers are 250, 534, 703, 209

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 209

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

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 250, 534, 703, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 534, 703, 209 is 1.

Therefore, GCD of numbers 250, 534, 703, 209 is 1

Given Input Data is 250, 534, 703, 209

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 703 is 19 x 37

Prime Factorization of 209 is 11 x 19

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(250, 534) = 66750

GCD(250, 534) = ( 250 x 534 ) / 66750

GCD(250, 534) = 133500 / 66750

GCD(250, 534) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 703

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

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

GCD(2, 703) = 1406 / 1406

GCD(2, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 250, 534, 703, 209 is 1

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1. What is the GCD of 250, 534, 703, 209?

GCD of 250, 534, 703, 209 is 1

2. Where do I get the detailed procedure to find GCD of 250, 534, 703, 209?

You can find a detailed procedure to find GCD of 250, 534, 703, 209 on our page.

3. How to find GCD of 250, 534, 703, 209 on a calculator?

You can find the GCD of 250, 534, 703, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.