GCD of 752, 358, 86, 338 Calculator

Given Input numbers are 752, 358, 86, 338

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 752, 358, 86, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 358, 86, 338 is 2.

Therefore, GCD of numbers 752, 358, 86, 338 is 2

Given Input Data is 752, 358, 86, 338

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 358 is 2 x 179

Prime Factorization of 86 is 2 x 43

Prime Factorization of 338 is 2 x 13 x 13

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(752, 358) = 134608

GCD(752, 358) = ( 752 x 358 ) / 134608

GCD(752, 358) = 269216 / 134608

GCD(752, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

GCD of 752, 358, 86, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 692, 11, 565
• GCD of 986, 647, 57, 167
• GCD of 484, 281, 71, 422
• GCD of 318, 909, 95, 603
• GCD of 490, 885, 33, 337

1. What is the GCD of 752, 358, 86, 338?

GCD of 752, 358, 86, 338 is 2

2. Where do I get the detailed procedure to find GCD of 752, 358, 86, 338?

You can find a detailed procedure to find GCD of 752, 358, 86, 338 on our page.

3. How to find GCD of 752, 358, 86, 338 on a calculator?

You can find the GCD of 752, 358, 86, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.