GCD of 829, 263, 954, 196 Calculator

Given Input numbers are 829, 263, 954, 196

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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 829, 263, 954, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 263, 954, 196 is 1.

Therefore, GCD of numbers 829, 263, 954, 196 is 1

Given Input Data is 829, 263, 954, 196

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

Prime Factorization of 829 is 829

Prime Factorization of 263 is 263

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(829, 263) = 218027

GCD(829, 263) = ( 829 x 263 ) / 218027

GCD(829, 263) = 218027 / 218027

GCD(829, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 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 829, 263, 954, 196 is 1

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1. What is the GCD of 829, 263, 954, 196?

GCD of 829, 263, 954, 196 is 1

2. Where do I get the detailed procedure to find GCD of 829, 263, 954, 196?

You can find a detailed procedure to find GCD of 829, 263, 954, 196 on our page.

3. How to find GCD of 829, 263, 954, 196 on a calculator?

You can find the GCD of 829, 263, 954, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.