GCD of 283, 826, 66, 738 Calculator

Given Input numbers are 283, 826, 66, 738

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 283, 826, 66, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 826, 66, 738 is 1.

Therefore, GCD of numbers 283, 826, 66, 738 is 1

Given Input Data is 283, 826, 66, 738

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

Prime Factorization of 283 is 283

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 826) = 233758

GCD(283, 826) = ( 283 x 826 ) / 233758

GCD(283, 826) = 233758 / 233758

GCD(283, 826) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 283, 826, 66, 738 is 1

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• GCD of 349, 447, 51, 437
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1. What is the GCD of 283, 826, 66, 738?

GCD of 283, 826, 66, 738 is 1

2. Where do I get the detailed procedure to find GCD of 283, 826, 66, 738?

You can find a detailed procedure to find GCD of 283, 826, 66, 738 on our page.

3. How to find GCD of 283, 826, 66, 738 on a calculator?

You can find the GCD of 283, 826, 66, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.