GCD of 505, 540, 865, 949 Calculator

Given Input numbers are 505, 540, 865, 949

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 505, 540, 865, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 540, 865, 949 is 1.

Therefore, GCD of numbers 505, 540, 865, 949 is 1

Given Input Data is 505, 540, 865, 949

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 865 is 5 x 173

Prime Factorization of 949 is 13 x 73

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(505, 540) = 54540

GCD(505, 540) = ( 505 x 540 ) / 54540

GCD(505, 540) = 272700 / 54540

GCD(505, 540) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 865

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

LCM(5, 865) = 865

GCD(5, 865) = ( 5 x 865 ) / 865

GCD(5, 865) = 4325 / 865

GCD(5, 865) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 949

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

LCM(5, 949) = 4745

GCD(5, 949) = ( 5 x 949 ) / 4745

GCD(5, 949) = 4745 / 4745

GCD(5, 949) = 1

GCD of 505, 540, 865, 949 is 1

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1. What is the GCD of 505, 540, 865, 949?

GCD of 505, 540, 865, 949 is 1

2. Where do I get the detailed procedure to find GCD of 505, 540, 865, 949?

You can find a detailed procedure to find GCD of 505, 540, 865, 949 on our page.

3. How to find GCD of 505, 540, 865, 949 on a calculator?

You can find the GCD of 505, 540, 865, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.