GCD of 284, 748, 82, 196 Calculator

Given Input numbers are 284, 748, 82, 196

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

Divisors of 284

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

1, 2, 4, 71, 142, 284

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 284, 748, 82, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 748, 82, 196 is 2.

Therefore, GCD of numbers 284, 748, 82, 196 is 2

Given Input Data is 284, 748, 82, 196

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

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 196 is 2 x 2 x 7 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(284, 748) = 53108

GCD(284, 748) = ( 284 x 748 ) / 53108

GCD(284, 748) = 212432 / 53108

GCD(284, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

GCD of 284, 748, 82, 196 is 2

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1. What is the GCD of 284, 748, 82, 196?

GCD of 284, 748, 82, 196 is 2

2. Where do I get the detailed procedure to find GCD of 284, 748, 82, 196?

You can find a detailed procedure to find GCD of 284, 748, 82, 196 on our page.

3. How to find GCD of 284, 748, 82, 196 on a calculator?

You can find the GCD of 284, 748, 82, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.