GCD of 610, 440, 474, 144 Calculator

Given Input numbers are 610, 440, 474, 144

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 610, 440, 474, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 440, 474, 144 is 2.

Therefore, GCD of numbers 610, 440, 474, 144 is 2

Given Input Data is 610, 440, 474, 144

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(610, 440) = 26840

GCD(610, 440) = ( 610 x 440 ) / 26840

GCD(610, 440) = 268400 / 26840

GCD(610, 440) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 474

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

LCM(10, 474) = 2370

GCD(10, 474) = ( 10 x 474 ) / 2370

GCD(10, 474) = 4740 / 2370

GCD(10, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

GCD of 610, 440, 474, 144 is 2

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1. What is the GCD of 610, 440, 474, 144?

GCD of 610, 440, 474, 144 is 2

2. Where do I get the detailed procedure to find GCD of 610, 440, 474, 144?

You can find a detailed procedure to find GCD of 610, 440, 474, 144 on our page.

3. How to find GCD of 610, 440, 474, 144 on a calculator?

You can find the GCD of 610, 440, 474, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.