GCD of 29, 196, 708, 944 Calculator

Given Input numbers are 29, 196, 708, 944

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 29, 196, 708, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 196, 708, 944 is 1.

Therefore, GCD of numbers 29, 196, 708, 944 is 1

Given Input Data is 29, 196, 708, 944

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

Prime Factorization of 29 is 29

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(29, 196) = 5684

GCD(29, 196) = ( 29 x 196 ) / 5684

GCD(29, 196) = 5684 / 5684

GCD(29, 196) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 29, 196, 708, 944 is 1

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1. What is the GCD of 29, 196, 708, 944?

GCD of 29, 196, 708, 944 is 1

2. Where do I get the detailed procedure to find GCD of 29, 196, 708, 944?

You can find a detailed procedure to find GCD of 29, 196, 708, 944 on our page.

3. How to find GCD of 29, 196, 708, 944 on a calculator?

You can find the GCD of 29, 196, 708, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.