GCD of 456, 351, 57, 540 Calculator

Given Input numbers are 456, 351, 57, 540

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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

Greatest Common Divisior

We found the divisors of 456, 351, 57, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 351, 57, 540 is 3.

Therefore, GCD of numbers 456, 351, 57, 540 is 3

Given Input Data is 456, 351, 57, 540

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 57 is 3 x 19

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(456, 351) = 53352

GCD(456, 351) = ( 456 x 351 ) / 53352

GCD(456, 351) = 160056 / 53352

GCD(456, 351) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 540

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

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

GCD(3, 540) = 1620 / 540

GCD(3, 540) = 3

GCD of 456, 351, 57, 540 is 3

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• GCD of 351, 767, 62, 342
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• GCD of 400, 228, 11, 253

1. What is the GCD of 456, 351, 57, 540?

GCD of 456, 351, 57, 540 is 3

2. Where do I get the detailed procedure to find GCD of 456, 351, 57, 540?

You can find a detailed procedure to find GCD of 456, 351, 57, 540 on our page.

3. How to find GCD of 456, 351, 57, 540 on a calculator?

You can find the GCD of 456, 351, 57, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.