GCD of 688, 709, 134, 217 Calculator

Given Input numbers are 688, 709, 134, 217

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 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 688, 709, 134, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 709, 134, 217 is 1.

Therefore, GCD of numbers 688, 709, 134, 217 is 1

Given Input Data is 688, 709, 134, 217

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 709 is 709

Prime Factorization of 134 is 2 x 67

Prime Factorization of 217 is 7 x 31

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, 709) = 487792

GCD(688, 709) = ( 688 x 709 ) / 487792

GCD(688, 709) = 487792 / 487792

GCD(688, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 688, 709, 134, 217 is 1

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• GCD of 731, 664, 408, 425
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1. What is the GCD of 688, 709, 134, 217?

GCD of 688, 709, 134, 217 is 1

2. Where do I get the detailed procedure to find GCD of 688, 709, 134, 217?

You can find a detailed procedure to find GCD of 688, 709, 134, 217 on our page.

3. How to find GCD of 688, 709, 134, 217 on a calculator?

You can find the GCD of 688, 709, 134, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.