GCD of 540, 867, 54, 758 Calculator

Given Input numbers are 540, 867, 54, 758

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

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 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 540, 867, 54, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 867, 54, 758 is 1.

Therefore, GCD of numbers 540, 867, 54, 758 is 1

Given Input Data is 540, 867, 54, 758

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

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 758 is 2 x 379

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(540, 867) = 156060

GCD(540, 867) = ( 540 x 867 ) / 156060

GCD(540, 867) = 468180 / 156060

GCD(540, 867) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 758

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

LCM(3, 758) = 2274

GCD(3, 758) = ( 3 x 758 ) / 2274

GCD(3, 758) = 2274 / 2274

GCD(3, 758) = 1

GCD of 540, 867, 54, 758 is 1

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1. What is the GCD of 540, 867, 54, 758?

GCD of 540, 867, 54, 758 is 1

2. Where do I get the detailed procedure to find GCD of 540, 867, 54, 758?

You can find a detailed procedure to find GCD of 540, 867, 54, 758 on our page.

3. How to find GCD of 540, 867, 54, 758 on a calculator?

You can find the GCD of 540, 867, 54, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.