GCD of 564, 540, 41, 947 Calculator

Given Input numbers are 564, 540, 41, 947

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

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 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 41

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

1, 41

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 564, 540, 41, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 540, 41, 947 is 1.

Therefore, GCD of numbers 564, 540, 41, 947 is 1

Given Input Data is 564, 540, 41, 947

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

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

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

Prime Factorization of 41 is 41

Prime Factorization of 947 is 947

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(564, 540) = 25380

GCD(564, 540) = ( 564 x 540 ) / 25380

GCD(564, 540) = 304560 / 25380

GCD(564, 540) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 41

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

LCM(12, 41) = 492

GCD(12, 41) = ( 12 x 41 ) / 492

GCD(12, 41) = 492 / 492

GCD(12, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 564, 540, 41, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 422, 74, 213
• GCD of 491, 708, 30, 347
• GCD of 512, 815, 77, 175
• GCD of 423, 758, 23, 614
• GCD of 419, 713, 45, 253

1. What is the GCD of 564, 540, 41, 947?

GCD of 564, 540, 41, 947 is 1

2. Where do I get the detailed procedure to find GCD of 564, 540, 41, 947?

You can find a detailed procedure to find GCD of 564, 540, 41, 947 on our page.

3. How to find GCD of 564, 540, 41, 947 on a calculator?

You can find the GCD of 564, 540, 41, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.