GCD of 782, 646, 68, 176 Calculator

Given Input numbers are 782, 646, 68, 176

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 782, 646, 68, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 646, 68, 176 is 2.

Therefore, GCD of numbers 782, 646, 68, 176 is 2

Given Input Data is 782, 646, 68, 176

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(782, 646) = 14858

GCD(782, 646) = ( 782 x 646 ) / 14858

GCD(782, 646) = 505172 / 14858

GCD(782, 646) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 68

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

LCM(34, 68) = 68

GCD(34, 68) = ( 34 x 68 ) / 68

GCD(34, 68) = 2312 / 68

GCD(34, 68) = 34

Step3:

Here we consider the GCD from the above i.e. 34 as first number and the next as 176

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

LCM(34, 176) = 2992

GCD(34, 176) = ( 34 x 176 ) / 2992

GCD(34, 176) = 5984 / 2992

GCD(34, 176) = 2

GCD of 782, 646, 68, 176 is 2

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1. What is the GCD of 782, 646, 68, 176?

GCD of 782, 646, 68, 176 is 2

2. Where do I get the detailed procedure to find GCD of 782, 646, 68, 176?

You can find a detailed procedure to find GCD of 782, 646, 68, 176 on our page.

3. How to find GCD of 782, 646, 68, 176 on a calculator?

You can find the GCD of 782, 646, 68, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.