GCD of 902, 242, 65, 587 Calculator

Given Input numbers are 902, 242, 65, 587

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 902, 242, 65, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 242, 65, 587 is 1.

Therefore, GCD of numbers 902, 242, 65, 587 is 1

Given Input Data is 902, 242, 65, 587

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 587 is 587

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(902, 242) = 9922

GCD(902, 242) = ( 902 x 242 ) / 9922

GCD(902, 242) = 218284 / 9922

GCD(902, 242) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 65

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

LCM(22, 65) = 1430

GCD(22, 65) = ( 22 x 65 ) / 1430

GCD(22, 65) = 1430 / 1430

GCD(22, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

GCD of 902, 242, 65, 587 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 629, 90, 870
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• GCD of 682, 104, 16, 301
• GCD of 920, 304, 89, 736

1. What is the GCD of 902, 242, 65, 587?

GCD of 902, 242, 65, 587 is 1

2. Where do I get the detailed procedure to find GCD of 902, 242, 65, 587?

You can find a detailed procedure to find GCD of 902, 242, 65, 587 on our page.

3. How to find GCD of 902, 242, 65, 587 on a calculator?

You can find the GCD of 902, 242, 65, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.