GCD of 854, 374, 196 Calculator

Given Input numbers are 854, 374, 196

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

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 854, 374, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 374, 196 is 2.

Therefore, GCD of numbers 854, 374, 196 is 2

Given Input Data is 854, 374, 196

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 374 is 2 x 11 x 17

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

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(854, 374) = 159698

GCD(854, 374) = ( 854 x 374 ) / 159698

GCD(854, 374) = 319396 / 159698

GCD(854, 374) = 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

GCD of 854, 374, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 171, 114
• GCD of 116, 440, 688
• GCD of 570, 546, 352
• GCD of 699, 960, 399
• GCD of 195, 971, 961

1. What is the GCD of 854, 374, 196?

GCD of 854, 374, 196 is 2

2. Where do I get the detailed procedure to find GCD of 854, 374, 196?

You can find a detailed procedure to find GCD of 854, 374, 196 on our page.

3. How to find GCD of 854, 374, 196 on a calculator?

You can find the GCD of 854, 374, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.