GCD of 676, 788, 196 Calculator

Given Input numbers are 676, 788, 196

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

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

Greatest Common Divisior

We found the divisors of 676, 788, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 788, 196 is 4.

Therefore, GCD of numbers 676, 788, 196 is 4

Given Input Data is 676, 788, 196

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 788 is 2 x 2 x 197

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(676, 788) = 133172

GCD(676, 788) = ( 676 x 788 ) / 133172

GCD(676, 788) = 532688 / 133172

GCD(676, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 196

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

LCM(4, 196) = 196

GCD(4, 196) = ( 4 x 196 ) / 196

GCD(4, 196) = 784 / 196

GCD(4, 196) = 4

GCD of 676, 788, 196 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 197, 813
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• GCD of 654, 911, 939
• GCD of 549, 439, 307
• GCD of 930, 835, 919

1. What is the GCD of 676, 788, 196?

GCD of 676, 788, 196 is 4

2. Where do I get the detailed procedure to find GCD of 676, 788, 196?

You can find a detailed procedure to find GCD of 676, 788, 196 on our page.

3. How to find GCD of 676, 788, 196 on a calculator?

You can find the GCD of 676, 788, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.