GCD of 748, 380, 298, 284 Calculator

Given Input numbers are 748, 380, 298, 284

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 748, 380, 298, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 380, 298, 284 is 2.

Therefore, GCD of numbers 748, 380, 298, 284 is 2

Given Input Data is 748, 380, 298, 284

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 298 is 2 x 149

Prime Factorization of 284 is 2 x 2 x 71

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, 380) = 71060

GCD(748, 380) = ( 748 x 380 ) / 71060

GCD(748, 380) = 284240 / 71060

GCD(748, 380) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 298

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

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

GCD(4, 298) = 1192 / 596

GCD(4, 298) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

GCD of 748, 380, 298, 284 is 2

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1. What is the GCD of 748, 380, 298, 284?

GCD of 748, 380, 298, 284 is 2

2. Where do I get the detailed procedure to find GCD of 748, 380, 298, 284?

You can find a detailed procedure to find GCD of 748, 380, 298, 284 on our page.

3. How to find GCD of 748, 380, 298, 284 on a calculator?

You can find the GCD of 748, 380, 298, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.