GCD of 156, 510, 460, 240 Calculator

Given Input numbers are 156, 510, 460, 240

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 156, 510, 460, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 510, 460, 240 is 2.

Therefore, GCD of numbers 156, 510, 460, 240 is 2

Given Input Data is 156, 510, 460, 240

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(156, 510) = 13260

GCD(156, 510) = ( 156 x 510 ) / 13260

GCD(156, 510) = 79560 / 13260

GCD(156, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 460

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

LCM(6, 460) = 1380

GCD(6, 460) = ( 6 x 460 ) / 1380

GCD(6, 460) = 2760 / 1380

GCD(6, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 156, 510, 460, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 378, 789, 805
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• GCD of 373, 512, 213, 950
• GCD of 640, 461, 354, 929
• GCD of 498, 992, 207, 419

1. What is the GCD of 156, 510, 460, 240?

GCD of 156, 510, 460, 240 is 2

2. Where do I get the detailed procedure to find GCD of 156, 510, 460, 240?

You can find a detailed procedure to find GCD of 156, 510, 460, 240 on our page.

3. How to find GCD of 156, 510, 460, 240 on a calculator?

You can find the GCD of 156, 510, 460, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.