GCD of 796, 348, 70, 212 Calculator

Given Input numbers are 796, 348, 70, 212

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 796, 348, 70, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 348, 70, 212 is 2.

Therefore, GCD of numbers 796, 348, 70, 212 is 2

Given Input Data is 796, 348, 70, 212

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 212 is 2 x 2 x 53

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(796, 348) = 69252

GCD(796, 348) = ( 796 x 348 ) / 69252

GCD(796, 348) = 277008 / 69252

GCD(796, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 796, 348, 70, 212 is 2

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1. What is the GCD of 796, 348, 70, 212?

GCD of 796, 348, 70, 212 is 2

2. Where do I get the detailed procedure to find GCD of 796, 348, 70, 212?

You can find a detailed procedure to find GCD of 796, 348, 70, 212 on our page.

3. How to find GCD of 796, 348, 70, 212 on a calculator?

You can find the GCD of 796, 348, 70, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.