GCD of 688, 497, 458, 270 Calculator

Given Input numbers are 688, 497, 458, 270

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

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 688, 497, 458, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 497, 458, 270 is 1.

Therefore, GCD of numbers 688, 497, 458, 270 is 1

Given Input Data is 688, 497, 458, 270

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

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 458 is 2 x 229

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(688, 497) = 341936

GCD(688, 497) = ( 688 x 497 ) / 341936

GCD(688, 497) = 341936 / 341936

GCD(688, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 688, 497, 458, 270 is 1

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1. What is the GCD of 688, 497, 458, 270?

GCD of 688, 497, 458, 270 is 1

2. Where do I get the detailed procedure to find GCD of 688, 497, 458, 270?

You can find a detailed procedure to find GCD of 688, 497, 458, 270 on our page.

3. How to find GCD of 688, 497, 458, 270 on a calculator?

You can find the GCD of 688, 497, 458, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.