GCD of 748, 142, 294, 336 Calculator

Given Input numbers are 748, 142, 294, 336

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

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 748, 142, 294, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 142, 294, 336 is 2.

Therefore, GCD of numbers 748, 142, 294, 336 is 2

Given Input Data is 748, 142, 294, 336

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

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(748, 142) = 53108

GCD(748, 142) = ( 748 x 142 ) / 53108

GCD(748, 142) = 106216 / 53108

GCD(748, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 336

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

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

GCD(2, 336) = 672 / 336

GCD(2, 336) = 2

GCD of 748, 142, 294, 336 is 2

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1. What is the GCD of 748, 142, 294, 336?

GCD of 748, 142, 294, 336 is 2

2. Where do I get the detailed procedure to find GCD of 748, 142, 294, 336?

You can find a detailed procedure to find GCD of 748, 142, 294, 336 on our page.

3. How to find GCD of 748, 142, 294, 336 on a calculator?

You can find the GCD of 748, 142, 294, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.