GCD of 688, 386, 154, 147 Calculator

Given Input numbers are 688, 386, 154, 147

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 688, 386, 154, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 386, 154, 147 is 1.

Therefore, GCD of numbers 688, 386, 154, 147 is 1

Given Input Data is 688, 386, 154, 147

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 386 is 2 x 193

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 147 is 3 x 7 x 7

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, 386) = 132784

GCD(688, 386) = ( 688 x 386 ) / 132784

GCD(688, 386) = 265568 / 132784

GCD(688, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 154

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

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

GCD(2, 154) = 308 / 154

GCD(2, 154) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 688, 386, 154, 147 is 1

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1. What is the GCD of 688, 386, 154, 147?

GCD of 688, 386, 154, 147 is 1

2. Where do I get the detailed procedure to find GCD of 688, 386, 154, 147?

You can find a detailed procedure to find GCD of 688, 386, 154, 147 on our page.

3. How to find GCD of 688, 386, 154, 147 on a calculator?

You can find the GCD of 688, 386, 154, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.