GCD of 472, 464, 60, 944 Calculator

Given Input numbers are 472, 464, 60, 944

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 472, 464, 60, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 464, 60, 944 is 4.

Therefore, GCD of numbers 472, 464, 60, 944 is 4

Given Input Data is 472, 464, 60, 944

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(472, 464) = 27376

GCD(472, 464) = ( 472 x 464 ) / 27376

GCD(472, 464) = 219008 / 27376

GCD(472, 464) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 60

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

LCM(8, 60) = 120

GCD(8, 60) = ( 8 x 60 ) / 120

GCD(8, 60) = 480 / 120

GCD(8, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 944

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

LCM(4, 944) = 944

GCD(4, 944) = ( 4 x 944 ) / 944

GCD(4, 944) = 3776 / 944

GCD(4, 944) = 4

GCD of 472, 464, 60, 944 is 4

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1. What is the GCD of 472, 464, 60, 944?

GCD of 472, 464, 60, 944 is 4

2. Where do I get the detailed procedure to find GCD of 472, 464, 60, 944?

You can find a detailed procedure to find GCD of 472, 464, 60, 944 on our page.

3. How to find GCD of 472, 464, 60, 944 on a calculator?

You can find the GCD of 472, 464, 60, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.