GCD of 282, 259, 10, 743 Calculator

Given Input numbers are 282, 259, 10, 743

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 743

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

1, 743

Greatest Common Divisior

We found the divisors of 282, 259, 10, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 259, 10, 743 is 1.

Therefore, GCD of numbers 282, 259, 10, 743 is 1

Given Input Data is 282, 259, 10, 743

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 259 is 7 x 37

Prime Factorization of 10 is 2 x 5

Prime Factorization of 743 is 743

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(282, 259) = 73038

GCD(282, 259) = ( 282 x 259 ) / 73038

GCD(282, 259) = 73038 / 73038

GCD(282, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 282, 259, 10, 743 is 1

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• GCD of 311, 396, 95, 944
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1. What is the GCD of 282, 259, 10, 743?

GCD of 282, 259, 10, 743 is 1

2. Where do I get the detailed procedure to find GCD of 282, 259, 10, 743?

You can find a detailed procedure to find GCD of 282, 259, 10, 743 on our page.

3. How to find GCD of 282, 259, 10, 743 on a calculator?

You can find the GCD of 282, 259, 10, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.