GCD of 819, 114, 70, 196 Calculator

Given Input numbers are 819, 114, 70, 196

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 819, 114, 70, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 114, 70, 196 is 1.

Therefore, GCD of numbers 819, 114, 70, 196 is 1

Given Input Data is 819, 114, 70, 196

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 70 is 2 x 5 x 7

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

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(819, 114) = 31122

GCD(819, 114) = ( 819 x 114 ) / 31122

GCD(819, 114) = 93366 / 31122

GCD(819, 114) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 819, 114, 70, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 411, 32, 327
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• GCD of 828, 140, 52, 598
• GCD of 175, 825, 11, 979

1. What is the GCD of 819, 114, 70, 196?

GCD of 819, 114, 70, 196 is 1

2. Where do I get the detailed procedure to find GCD of 819, 114, 70, 196?

You can find a detailed procedure to find GCD of 819, 114, 70, 196 on our page.

3. How to find GCD of 819, 114, 70, 196 on a calculator?

You can find the GCD of 819, 114, 70, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.