GCD of 264, 340, 76, 542 Calculator

Given Input numbers are 264, 340, 76, 542

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

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

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 264, 340, 76, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 340, 76, 542 is 2.

Therefore, GCD of numbers 264, 340, 76, 542 is 2

Given Input Data is 264, 340, 76, 542

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 542 is 2 x 271

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(264, 340) = 22440

GCD(264, 340) = ( 264 x 340 ) / 22440

GCD(264, 340) = 89760 / 22440

GCD(264, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 542

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

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

GCD(4, 542) = 2168 / 1084

GCD(4, 542) = 2

GCD of 264, 340, 76, 542 is 2

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1. What is the GCD of 264, 340, 76, 542?

GCD of 264, 340, 76, 542 is 2

2. Where do I get the detailed procedure to find GCD of 264, 340, 76, 542?

You can find a detailed procedure to find GCD of 264, 340, 76, 542 on our page.

3. How to find GCD of 264, 340, 76, 542 on a calculator?

You can find the GCD of 264, 340, 76, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.