GCD of 466, 594, 60, 942 Calculator

Given Input numbers are 466, 594, 60, 942

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 466, 594, 60, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 594, 60, 942 is 2.

Therefore, GCD of numbers 466, 594, 60, 942 is 2

Given Input Data is 466, 594, 60, 942

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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

Prime Factorization of 942 is 2 x 3 x 157

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(466, 594) = 138402

GCD(466, 594) = ( 466 x 594 ) / 138402

GCD(466, 594) = 276804 / 138402

GCD(466, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

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

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 2

GCD of 466, 594, 60, 942 is 2

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1. What is the GCD of 466, 594, 60, 942?

GCD of 466, 594, 60, 942 is 2

2. Where do I get the detailed procedure to find GCD of 466, 594, 60, 942?

You can find a detailed procedure to find GCD of 466, 594, 60, 942 on our page.

3. How to find GCD of 466, 594, 60, 942 on a calculator?

You can find the GCD of 466, 594, 60, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.