GCD of 528, 540, 51, 340 Calculator

Given Input numbers are 528, 540, 51, 340

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 528, 540, 51, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 540, 51, 340 is 1.

Therefore, GCD of numbers 528, 540, 51, 340 is 1

Given Input Data is 528, 540, 51, 340

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 51 is 3 x 17

Prime Factorization of 340 is 2 x 2 x 5 x 17

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 51

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

LCM(12, 51) = 204

GCD(12, 51) = ( 12 x 51 ) / 204

GCD(12, 51) = 612 / 204

GCD(12, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 340

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

LCM(3, 340) = 1020

GCD(3, 340) = ( 3 x 340 ) / 1020

GCD(3, 340) = 1020 / 1020

GCD(3, 340) = 1

GCD of 528, 540, 51, 340 is 1

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1. What is the GCD of 528, 540, 51, 340?

GCD of 528, 540, 51, 340 is 1

2. Where do I get the detailed procedure to find GCD of 528, 540, 51, 340?

You can find a detailed procedure to find GCD of 528, 540, 51, 340 on our page.

3. How to find GCD of 528, 540, 51, 340 on a calculator?

You can find the GCD of 528, 540, 51, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.