GCD of 647, 141, 54, 688 Calculator

Given Input numbers are 647, 141, 54, 688

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

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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

Greatest Common Divisior

We found the divisors of 647, 141, 54, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 647, 141, 54, 688 is 1.

Therefore, GCD of numbers 647, 141, 54, 688 is 1

Given Input Data is 647, 141, 54, 688

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

Prime Factorization of 647 is 647

Prime Factorization of 141 is 3 x 47

Prime Factorization of 54 is 2 x 3 x 3 x 3

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

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(647, 141) = 91227

GCD(647, 141) = ( 647 x 141 ) / 91227

GCD(647, 141) = 91227 / 91227

GCD(647, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 647, 141, 54, 688 is 1

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1. What is the GCD of 647, 141, 54, 688?

GCD of 647, 141, 54, 688 is 1

2. Where do I get the detailed procedure to find GCD of 647, 141, 54, 688?

You can find a detailed procedure to find GCD of 647, 141, 54, 688 on our page.

3. How to find GCD of 647, 141, 54, 688 on a calculator?

You can find the GCD of 647, 141, 54, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.