GCD of 509, 913, 41, 265 Calculator

Given Input numbers are 509, 913, 41, 265

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 509, 913, 41, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 913, 41, 265 is 1.

Therefore, GCD of numbers 509, 913, 41, 265 is 1

Given Input Data is 509, 913, 41, 265

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

Prime Factorization of 509 is 509

Prime Factorization of 913 is 11 x 83

Prime Factorization of 41 is 41

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(509, 913) = 464717

GCD(509, 913) = ( 509 x 913 ) / 464717

GCD(509, 913) = 464717 / 464717

GCD(509, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 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 509, 913, 41, 265 is 1

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• GCD of 882, 269, 78, 955
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1. What is the GCD of 509, 913, 41, 265?

GCD of 509, 913, 41, 265 is 1

2. Where do I get the detailed procedure to find GCD of 509, 913, 41, 265?

You can find a detailed procedure to find GCD of 509, 913, 41, 265 on our page.

3. How to find GCD of 509, 913, 41, 265 on a calculator?

You can find the GCD of 509, 913, 41, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.