GCD of 523, 440, 341, 265 Calculator

Given Input numbers are 523, 440, 341, 265

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 265

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

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 523, 440, 341, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 440, 341, 265 is 1.

Therefore, GCD of numbers 523, 440, 341, 265 is 1

Given Input Data is 523, 440, 341, 265

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

Prime Factorization of 523 is 523

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 341 is 11 x 31

Prime Factorization of 265 is 5 x 53

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(523, 440) = 230120

GCD(523, 440) = ( 523 x 440 ) / 230120

GCD(523, 440) = 230120 / 230120

GCD(523, 440) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 523, 440, 341, 265 is 1

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1. What is the GCD of 523, 440, 341, 265?

GCD of 523, 440, 341, 265 is 1

2. Where do I get the detailed procedure to find GCD of 523, 440, 341, 265?

You can find a detailed procedure to find GCD of 523, 440, 341, 265 on our page.

3. How to find GCD of 523, 440, 341, 265 on a calculator?

You can find the GCD of 523, 440, 341, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.