GCD of 198, 915, 803, 701 Calculator

Given Input numbers are 198, 915, 803, 701

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

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 198, 915, 803, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 915, 803, 701 is 1.

Therefore, GCD of numbers 198, 915, 803, 701 is 1

Given Input Data is 198, 915, 803, 701

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

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 803 is 11 x 73

Prime Factorization of 701 is 701

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(198, 915) = 60390

GCD(198, 915) = ( 198 x 915 ) / 60390

GCD(198, 915) = 181170 / 60390

GCD(198, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 803

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

LCM(3, 803) = 2409

GCD(3, 803) = ( 3 x 803 ) / 2409

GCD(3, 803) = 2409 / 2409

GCD(3, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 198, 915, 803, 701 is 1

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• GCD of 315, 950, 165, 997
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1. What is the GCD of 198, 915, 803, 701?

GCD of 198, 915, 803, 701 is 1

2. Where do I get the detailed procedure to find GCD of 198, 915, 803, 701?

You can find a detailed procedure to find GCD of 198, 915, 803, 701 on our page.

3. How to find GCD of 198, 915, 803, 701 on a calculator?

You can find the GCD of 198, 915, 803, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.