GCD of 688, 944, 172, 648 Calculator

Given Input numbers are 688, 944, 172, 648

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 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 688, 944, 172, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 944, 172, 648 is 4.

Therefore, GCD of numbers 688, 944, 172, 648 is 4

Given Input Data is 688, 944, 172, 648

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 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 944) = 40592

GCD(688, 944) = ( 688 x 944 ) / 40592

GCD(688, 944) = 649472 / 40592

GCD(688, 944) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 172

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

LCM(16, 172) = 688

GCD(16, 172) = ( 16 x 172 ) / 688

GCD(16, 172) = 2752 / 688

GCD(16, 172) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 648

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

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

GCD(4, 648) = 2592 / 648

GCD(4, 648) = 4

GCD of 688, 944, 172, 648 is 4

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1. What is the GCD of 688, 944, 172, 648?

GCD of 688, 944, 172, 648 is 4

2. Where do I get the detailed procedure to find GCD of 688, 944, 172, 648?

You can find a detailed procedure to find GCD of 688, 944, 172, 648 on our page.

3. How to find GCD of 688, 944, 172, 648 on a calculator?

You can find the GCD of 688, 944, 172, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.