GCD of 474, 144, 62, 656 Calculator

Given Input numbers are 474, 144, 62, 656

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

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

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 474, 144, 62, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 144, 62, 656 is 2.

Therefore, GCD of numbers 474, 144, 62, 656 is 2

Given Input Data is 474, 144, 62, 656

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

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

Prime Factorization of 62 is 2 x 31

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(474, 144) = 11376

GCD(474, 144) = ( 474 x 144 ) / 11376

GCD(474, 144) = 68256 / 11376

GCD(474, 144) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 62

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

LCM(6, 62) = 186

GCD(6, 62) = ( 6 x 62 ) / 186

GCD(6, 62) = 372 / 186

GCD(6, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 656

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

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

GCD(2, 656) = 1312 / 656

GCD(2, 656) = 2

GCD of 474, 144, 62, 656 is 2

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1. What is the GCD of 474, 144, 62, 656?

GCD of 474, 144, 62, 656 is 2

2. Where do I get the detailed procedure to find GCD of 474, 144, 62, 656?

You can find a detailed procedure to find GCD of 474, 144, 62, 656 on our page.

3. How to find GCD of 474, 144, 62, 656 on a calculator?

You can find the GCD of 474, 144, 62, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.