GCD of 736, 243, 902, 258 Calculator

Given Input numbers are 736, 243, 902, 258

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 736, 243, 902, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 243, 902, 258 is 1.

Therefore, GCD of numbers 736, 243, 902, 258 is 1

Given Input Data is 736, 243, 902, 258

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 258 is 2 x 3 x 43

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(736, 243) = 178848

GCD(736, 243) = ( 736 x 243 ) / 178848

GCD(736, 243) = 178848 / 178848

GCD(736, 243) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 736, 243, 902, 258 is 1

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1. What is the GCD of 736, 243, 902, 258?

GCD of 736, 243, 902, 258 is 1

2. Where do I get the detailed procedure to find GCD of 736, 243, 902, 258?

You can find a detailed procedure to find GCD of 736, 243, 902, 258 on our page.

3. How to find GCD of 736, 243, 902, 258 on a calculator?

You can find the GCD of 736, 243, 902, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.