GCD of 426, 916, 196, 828 Calculator

Given Input numbers are 426, 916, 196, 828

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 426, 916, 196, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 916, 196, 828 is 2.

Therefore, GCD of numbers 426, 916, 196, 828 is 2

Given Input Data is 426, 916, 196, 828

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 916 is 2 x 2 x 229

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(426, 916) = 195108

GCD(426, 916) = ( 426 x 916 ) / 195108

GCD(426, 916) = 390216 / 195108

GCD(426, 916) = 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 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

GCD of 426, 916, 196, 828 is 2

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1. What is the GCD of 426, 916, 196, 828?

GCD of 426, 916, 196, 828 is 2

2. Where do I get the detailed procedure to find GCD of 426, 916, 196, 828?

You can find a detailed procedure to find GCD of 426, 916, 196, 828 on our page.

3. How to find GCD of 426, 916, 196, 828 on a calculator?

You can find the GCD of 426, 916, 196, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.