GCD of 596, 266, 743, 280 Calculator

Given Input numbers are 596, 266, 743, 280

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 596, 266, 743, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 266, 743, 280 is 1.

Therefore, GCD of numbers 596, 266, 743, 280 is 1

Given Input Data is 596, 266, 743, 280

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 743 is 743

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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(596, 266) = 79268

GCD(596, 266) = ( 596 x 266 ) / 79268

GCD(596, 266) = 158536 / 79268

GCD(596, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 596, 266, 743, 280 is 1

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• GCD of 141, 111, 974, 932
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1. What is the GCD of 596, 266, 743, 280?

GCD of 596, 266, 743, 280 is 1

2. Where do I get the detailed procedure to find GCD of 596, 266, 743, 280?

You can find a detailed procedure to find GCD of 596, 266, 743, 280 on our page.

3. How to find GCD of 596, 266, 743, 280 on a calculator?

You can find the GCD of 596, 266, 743, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.