GCD of 607, 688, 198, 527 Calculator

Given Input numbers are 607, 688, 198, 527

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

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 527

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

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 607, 688, 198, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 607, 688, 198, 527 is 1.

Therefore, GCD of numbers 607, 688, 198, 527 is 1

Given Input Data is 607, 688, 198, 527

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

Prime Factorization of 607 is 607

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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

Prime Factorization of 527 is 17 x 31

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(607, 688) = 417616

GCD(607, 688) = ( 607 x 688 ) / 417616

GCD(607, 688) = 417616 / 417616

GCD(607, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 607, 688, 198, 527 is 1

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1. What is the GCD of 607, 688, 198, 527?

GCD of 607, 688, 198, 527 is 1

2. Where do I get the detailed procedure to find GCD of 607, 688, 198, 527?

You can find a detailed procedure to find GCD of 607, 688, 198, 527 on our page.

3. How to find GCD of 607, 688, 198, 527 on a calculator?

You can find the GCD of 607, 688, 198, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.