GCD of 283, 274, 416, 748 Calculator

Given Input numbers are 283, 274, 416, 748

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

Greatest Common Divisior

We found the divisors of 283, 274, 416, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 274, 416, 748 is 1.

Therefore, GCD of numbers 283, 274, 416, 748 is 1

Given Input Data is 283, 274, 416, 748

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

Prime Factorization of 283 is 283

Prime Factorization of 274 is 2 x 137

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

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(283, 274) = 77542

GCD(283, 274) = ( 283 x 274 ) / 77542

GCD(283, 274) = 77542 / 77542

GCD(283, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 283, 274, 416, 748 is 1

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1. What is the GCD of 283, 274, 416, 748?

GCD of 283, 274, 416, 748 is 1

2. Where do I get the detailed procedure to find GCD of 283, 274, 416, 748?

You can find a detailed procedure to find GCD of 283, 274, 416, 748 on our page.

3. How to find GCD of 283, 274, 416, 748 on a calculator?

You can find the GCD of 283, 274, 416, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.