GCD of 528, 540, 719, 565 Calculator

Given Input numbers are 528, 540, 719, 565

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 528, 540, 719, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 540, 719, 565 is 1.

Therefore, GCD of numbers 528, 540, 719, 565 is 1

Given Input Data is 528, 540, 719, 565

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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

Prime Factorization of 719 is 719

Prime Factorization of 565 is 5 x 113

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(528, 540) = 23760

GCD(528, 540) = ( 528 x 540 ) / 23760

GCD(528, 540) = 285120 / 23760

GCD(528, 540) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 719

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

LCM(12, 719) = 8628

GCD(12, 719) = ( 12 x 719 ) / 8628

GCD(12, 719) = 8628 / 8628

GCD(12, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 528, 540, 719, 565 is 1

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1. What is the GCD of 528, 540, 719, 565?

GCD of 528, 540, 719, 565 is 1

2. Where do I get the detailed procedure to find GCD of 528, 540, 719, 565?

You can find a detailed procedure to find GCD of 528, 540, 719, 565 on our page.

3. How to find GCD of 528, 540, 719, 565 on a calculator?

You can find the GCD of 528, 540, 719, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.