GCD of 772, 748, 548, 326 Calculator

Given Input numbers are 772, 748, 548, 326

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 772, 748, 548, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 748, 548, 326 is 2.

Therefore, GCD of numbers 772, 748, 548, 326 is 2

Given Input Data is 772, 748, 548, 326

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

Prime Factorization of 772 is 2 x 2 x 193

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 326 is 2 x 163

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(772, 748) = 144364

GCD(772, 748) = ( 772 x 748 ) / 144364

GCD(772, 748) = 577456 / 144364

GCD(772, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 548

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

LCM(4, 548) = 548

GCD(4, 548) = ( 4 x 548 ) / 548

GCD(4, 548) = 2192 / 548

GCD(4, 548) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 326

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

LCM(4, 326) = 652

GCD(4, 326) = ( 4 x 326 ) / 652

GCD(4, 326) = 1304 / 652

GCD(4, 326) = 2

GCD of 772, 748, 548, 326 is 2

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1. What is the GCD of 772, 748, 548, 326?

GCD of 772, 748, 548, 326 is 2

2. Where do I get the detailed procedure to find GCD of 772, 748, 548, 326?

You can find a detailed procedure to find GCD of 772, 748, 548, 326 on our page.

3. How to find GCD of 772, 748, 548, 326 on a calculator?

You can find the GCD of 772, 748, 548, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.