GCD of 540, 924, 700, 310 Calculator

Given Input numbers are 540, 924, 700, 310

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 540, 924, 700, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 924, 700, 310 is 2.

Therefore, GCD of numbers 540, 924, 700, 310 is 2

Given Input Data is 540, 924, 700, 310

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 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 310 is 2 x 5 x 31

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(540, 924) = 41580

GCD(540, 924) = ( 540 x 924 ) / 41580

GCD(540, 924) = 498960 / 41580

GCD(540, 924) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 700

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

LCM(12, 700) = 2100

GCD(12, 700) = ( 12 x 700 ) / 2100

GCD(12, 700) = 8400 / 2100

GCD(12, 700) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 310

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

LCM(4, 310) = 620

GCD(4, 310) = ( 4 x 310 ) / 620

GCD(4, 310) = 1240 / 620

GCD(4, 310) = 2

GCD of 540, 924, 700, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 566, 555, 260
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1. What is the GCD of 540, 924, 700, 310?

GCD of 540, 924, 700, 310 is 2

2. Where do I get the detailed procedure to find GCD of 540, 924, 700, 310?

You can find a detailed procedure to find GCD of 540, 924, 700, 310 on our page.

3. How to find GCD of 540, 924, 700, 310 on a calculator?

You can find the GCD of 540, 924, 700, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.