GCD of 706, 736, 750, 326 Calculator

Given Input numbers are 706, 736, 750, 326

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 706, 736, 750, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 736, 750, 326 is 2.

Therefore, GCD of numbers 706, 736, 750, 326 is 2

Given Input Data is 706, 736, 750, 326

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(706, 736) = 259808

GCD(706, 736) = ( 706 x 736 ) / 259808

GCD(706, 736) = 519616 / 259808

GCD(706, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

GCD of 706, 736, 750, 326 is 2

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• GCD of 818, 782, 327, 631
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• GCD of 944, 289, 523, 750

1. What is the GCD of 706, 736, 750, 326?

GCD of 706, 736, 750, 326 is 2

2. Where do I get the detailed procedure to find GCD of 706, 736, 750, 326?

You can find a detailed procedure to find GCD of 706, 736, 750, 326 on our page.

3. How to find GCD of 706, 736, 750, 326 on a calculator?

You can find the GCD of 706, 736, 750, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.