GCD of 508, 540, 61, 295 Calculator

Given Input numbers are 508, 540, 61, 295

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

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 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 508, 540, 61, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 540, 61, 295 is 1.

Therefore, GCD of numbers 508, 540, 61, 295 is 1

Given Input Data is 508, 540, 61, 295

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

Prime Factorization of 508 is 2 x 2 x 127

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

Prime Factorization of 61 is 61

Prime Factorization of 295 is 5 x 59

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(508, 540) = 68580

GCD(508, 540) = ( 508 x 540 ) / 68580

GCD(508, 540) = 274320 / 68580

GCD(508, 540) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 61

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

LCM(4, 61) = 244

GCD(4, 61) = ( 4 x 61 ) / 244

GCD(4, 61) = 244 / 244

GCD(4, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 508, 540, 61, 295 is 1

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• GCD of 975, 789, 26, 497
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1. What is the GCD of 508, 540, 61, 295?

GCD of 508, 540, 61, 295 is 1

2. Where do I get the detailed procedure to find GCD of 508, 540, 61, 295?

You can find a detailed procedure to find GCD of 508, 540, 61, 295 on our page.

3. How to find GCD of 508, 540, 61, 295 on a calculator?

You can find the GCD of 508, 540, 61, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.