GCD of 717, 896, 362, 196 Calculator

Given Input numbers are 717, 896, 362, 196

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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 717, 896, 362, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 896, 362, 196 is 1.

Therefore, GCD of numbers 717, 896, 362, 196 is 1

Given Input Data is 717, 896, 362, 196

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 362 is 2 x 181

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(717, 896) = 642432

GCD(717, 896) = ( 717 x 896 ) / 642432

GCD(717, 896) = 642432 / 642432

GCD(717, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 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 717, 896, 362, 196 is 1

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1. What is the GCD of 717, 896, 362, 196?

GCD of 717, 896, 362, 196 is 1

2. Where do I get the detailed procedure to find GCD of 717, 896, 362, 196?

You can find a detailed procedure to find GCD of 717, 896, 362, 196 on our page.

3. How to find GCD of 717, 896, 362, 196 on a calculator?

You can find the GCD of 717, 896, 362, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.