GCD of 428, 818, 196, 708 Calculator

Given Input numbers are 428, 818, 196, 708

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 428, 818, 196, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 818, 196, 708 is 2.

Therefore, GCD of numbers 428, 818, 196, 708 is 2

Given Input Data is 428, 818, 196, 708

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 818 is 2 x 409

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(428, 818) = 175052

GCD(428, 818) = ( 428 x 818 ) / 175052

GCD(428, 818) = 350104 / 175052

GCD(428, 818) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 428, 818, 196, 708 is 2

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1. What is the GCD of 428, 818, 196, 708?

GCD of 428, 818, 196, 708 is 2

2. Where do I get the detailed procedure to find GCD of 428, 818, 196, 708?

You can find a detailed procedure to find GCD of 428, 818, 196, 708 on our page.

3. How to find GCD of 428, 818, 196, 708 on a calculator?

You can find the GCD of 428, 818, 196, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.