GCD of 265, 741, 16, 643 Calculator

Given Input numbers are 265, 741, 16, 643

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 265, 741, 16, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 741, 16, 643 is 1.

Therefore, GCD of numbers 265, 741, 16, 643 is 1

Given Input Data is 265, 741, 16, 643

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 643 is 643

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(265, 741) = 196365

GCD(265, 741) = ( 265 x 741 ) / 196365

GCD(265, 741) = 196365 / 196365

GCD(265, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 265, 741, 16, 643 is 1

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1. What is the GCD of 265, 741, 16, 643?

GCD of 265, 741, 16, 643 is 1

2. Where do I get the detailed procedure to find GCD of 265, 741, 16, 643?

You can find a detailed procedure to find GCD of 265, 741, 16, 643 on our page.

3. How to find GCD of 265, 741, 16, 643 on a calculator?

You can find the GCD of 265, 741, 16, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.