GCD of 344, 202, 688, 487 Calculator

Given Input numbers are 344, 202, 688, 487

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Greatest Common Divisior

We found the divisors of 344, 202, 688, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 202, 688, 487 is 1.

Therefore, GCD of numbers 344, 202, 688, 487 is 1

Given Input Data is 344, 202, 688, 487

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 202 is 2 x 101

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 487 is 487

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(344, 202) = 34744

GCD(344, 202) = ( 344 x 202 ) / 34744

GCD(344, 202) = 69488 / 34744

GCD(344, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 487

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

LCM(2, 487) = 974

GCD(2, 487) = ( 2 x 487 ) / 974

GCD(2, 487) = 974 / 974

GCD(2, 487) = 1

GCD of 344, 202, 688, 487 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 598, 564, 372
• GCD of 560, 663, 122, 578
• GCD of 137, 432, 169, 930
• GCD of 436, 539, 382, 850
• GCD of 844, 411, 916, 755

1. What is the GCD of 344, 202, 688, 487?

GCD of 344, 202, 688, 487 is 1

2. Where do I get the detailed procedure to find GCD of 344, 202, 688, 487?

You can find a detailed procedure to find GCD of 344, 202, 688, 487 on our page.

3. How to find GCD of 344, 202, 688, 487 on a calculator?

You can find the GCD of 344, 202, 688, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.