GCD of 541, 564, 71, 315 Calculator

Given Input numbers are 541, 564, 71, 315

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

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 541, 564, 71, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 564, 71, 315 is 1.

Therefore, GCD of numbers 541, 564, 71, 315 is 1

Given Input Data is 541, 564, 71, 315

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

Prime Factorization of 541 is 541

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 71 is 71

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(541, 564) = 305124

GCD(541, 564) = ( 541 x 564 ) / 305124

GCD(541, 564) = 305124 / 305124

GCD(541, 564) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 541, 564, 71, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 683, 45, 244
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• GCD of 879, 611, 34, 806
• GCD of 220, 350, 68, 833
• GCD of 303, 851, 62, 424

1. What is the GCD of 541, 564, 71, 315?

GCD of 541, 564, 71, 315 is 1

2. Where do I get the detailed procedure to find GCD of 541, 564, 71, 315?

You can find a detailed procedure to find GCD of 541, 564, 71, 315 on our page.

3. How to find GCD of 541, 564, 71, 315 on a calculator?

You can find the GCD of 541, 564, 71, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.