GCD of 296, 527, 694, 798 Calculator

Given Input numbers are 296, 527, 694, 798

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 296, 527, 694, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 527, 694, 798 is 1.

Therefore, GCD of numbers 296, 527, 694, 798 is 1

Given Input Data is 296, 527, 694, 798

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 527 is 17 x 31

Prime Factorization of 694 is 2 x 347

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(296, 527) = 155992

GCD(296, 527) = ( 296 x 527 ) / 155992

GCD(296, 527) = 155992 / 155992

GCD(296, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 296, 527, 694, 798 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 975, 433, 150
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• GCD of 261, 898, 164, 485
• GCD of 265, 458, 112, 471

1. What is the GCD of 296, 527, 694, 798?

GCD of 296, 527, 694, 798 is 1

2. Where do I get the detailed procedure to find GCD of 296, 527, 694, 798?

You can find a detailed procedure to find GCD of 296, 527, 694, 798 on our page.

3. How to find GCD of 296, 527, 694, 798 on a calculator?

You can find the GCD of 296, 527, 694, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.