GCD of 521, 198, 68, 714 Calculator

Given Input numbers are 521, 198, 68, 714

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 521, 198, 68, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 198, 68, 714 is 1.

Therefore, GCD of numbers 521, 198, 68, 714 is 1

Given Input Data is 521, 198, 68, 714

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

Prime Factorization of 521 is 521

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(521, 198) = 103158

GCD(521, 198) = ( 521 x 198 ) / 103158

GCD(521, 198) = 103158 / 103158

GCD(521, 198) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 521, 198, 68, 714 is 1

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• GCD of 333, 597, 96, 437
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• GCD of 834, 752, 81, 970

1. What is the GCD of 521, 198, 68, 714?

GCD of 521, 198, 68, 714 is 1

2. Where do I get the detailed procedure to find GCD of 521, 198, 68, 714?

You can find a detailed procedure to find GCD of 521, 198, 68, 714 on our page.

3. How to find GCD of 521, 198, 68, 714 on a calculator?

You can find the GCD of 521, 198, 68, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.