GCD of 196, 350, 685, 816 Calculator

Given Input numbers are 196, 350, 685, 816

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

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 196, 350, 685, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 350, 685, 816 is 1.

Therefore, GCD of numbers 196, 350, 685, 816 is 1

Given Input Data is 196, 350, 685, 816

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

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 685 is 5 x 137

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(196, 350) = 4900

GCD(196, 350) = ( 196 x 350 ) / 4900

GCD(196, 350) = 68600 / 4900

GCD(196, 350) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 685

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

LCM(14, 685) = 9590

GCD(14, 685) = ( 14 x 685 ) / 9590

GCD(14, 685) = 9590 / 9590

GCD(14, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 196, 350, 685, 816 is 1

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1. What is the GCD of 196, 350, 685, 816?

GCD of 196, 350, 685, 816 is 1

2. Where do I get the detailed procedure to find GCD of 196, 350, 685, 816?

You can find a detailed procedure to find GCD of 196, 350, 685, 816 on our page.

3. How to find GCD of 196, 350, 685, 816 on a calculator?

You can find the GCD of 196, 350, 685, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.