GCD of 392, 310, 60, 906 Calculator

Given Input numbers are 392, 310, 60, 906

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 392, 310, 60, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 310, 60, 906 is 2.

Therefore, GCD of numbers 392, 310, 60, 906 is 2

Given Input Data is 392, 310, 60, 906

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 310 is 2 x 5 x 31

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

Prime Factorization of 906 is 2 x 3 x 151

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(392, 310) = 60760

GCD(392, 310) = ( 392 x 310 ) / 60760

GCD(392, 310) = 121520 / 60760

GCD(392, 310) = 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 906

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

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

GCD(2, 906) = 1812 / 906

GCD(2, 906) = 2

GCD of 392, 310, 60, 906 is 2

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1. What is the GCD of 392, 310, 60, 906?

GCD of 392, 310, 60, 906 is 2

2. Where do I get the detailed procedure to find GCD of 392, 310, 60, 906?

You can find a detailed procedure to find GCD of 392, 310, 60, 906 on our page.

3. How to find GCD of 392, 310, 60, 906 on a calculator?

You can find the GCD of 392, 310, 60, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.