GCD of 320, 196, 686, 748 Calculator

Given Input numbers are 320, 196, 686, 748

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 320, 196, 686, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 196, 686, 748 is 2.

Therefore, GCD of numbers 320, 196, 686, 748 is 2

Given Input Data is 320, 196, 686, 748

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(320, 196) = 15680

GCD(320, 196) = ( 320 x 196 ) / 15680

GCD(320, 196) = 62720 / 15680

GCD(320, 196) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 686

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

LCM(4, 686) = 1372

GCD(4, 686) = ( 4 x 686 ) / 1372

GCD(4, 686) = 2744 / 1372

GCD(4, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 320, 196, 686, 748 is 2

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1. What is the GCD of 320, 196, 686, 748?

GCD of 320, 196, 686, 748 is 2

2. Where do I get the detailed procedure to find GCD of 320, 196, 686, 748?

You can find a detailed procedure to find GCD of 320, 196, 686, 748 on our page.

3. How to find GCD of 320, 196, 686, 748 on a calculator?

You can find the GCD of 320, 196, 686, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.