GCD of 842, 314, 48, 702 Calculator

Given Input numbers are 842, 314, 48, 702

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 842, 314, 48, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 314, 48, 702 is 2.

Therefore, GCD of numbers 842, 314, 48, 702 is 2

Given Input Data is 842, 314, 48, 702

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 314 is 2 x 157

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(842, 314) = 132194

GCD(842, 314) = ( 842 x 314 ) / 132194

GCD(842, 314) = 264388 / 132194

GCD(842, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 842, 314, 48, 702 is 2

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1. What is the GCD of 842, 314, 48, 702?

GCD of 842, 314, 48, 702 is 2

2. Where do I get the detailed procedure to find GCD of 842, 314, 48, 702?

You can find a detailed procedure to find GCD of 842, 314, 48, 702 on our page.

3. How to find GCD of 842, 314, 48, 702 on a calculator?

You can find the GCD of 842, 314, 48, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.