GCD of 856, 648, 716, 174 Calculator

Given Input numbers are 856, 648, 716, 174

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 856, 648, 716, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 648, 716, 174 is 2.

Therefore, GCD of numbers 856, 648, 716, 174 is 2

Given Input Data is 856, 648, 716, 174

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 174 is 2 x 3 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(856, 648) = 69336

GCD(856, 648) = ( 856 x 648 ) / 69336

GCD(856, 648) = 554688 / 69336

GCD(856, 648) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 716

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

LCM(8, 716) = 1432

GCD(8, 716) = ( 8 x 716 ) / 1432

GCD(8, 716) = 5728 / 1432

GCD(8, 716) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 174

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

LCM(4, 174) = 348

GCD(4, 174) = ( 4 x 174 ) / 348

GCD(4, 174) = 696 / 348

GCD(4, 174) = 2

GCD of 856, 648, 716, 174 is 2

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1. What is the GCD of 856, 648, 716, 174?

GCD of 856, 648, 716, 174 is 2

2. Where do I get the detailed procedure to find GCD of 856, 648, 716, 174?

You can find a detailed procedure to find GCD of 856, 648, 716, 174 on our page.

3. How to find GCD of 856, 648, 716, 174 on a calculator?

You can find the GCD of 856, 648, 716, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.