GCD of 91, 583, 268, 198 Calculator

Given Input numbers are 91, 583, 268, 198

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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

Greatest Common Divisior

We found the divisors of 91, 583, 268, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 583, 268, 198 is 1.

Therefore, GCD of numbers 91, 583, 268, 198 is 1

Given Input Data is 91, 583, 268, 198

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 583 is 11 x 53

Prime Factorization of 268 is 2 x 2 x 67

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

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(91, 583) = 53053

GCD(91, 583) = ( 91 x 583 ) / 53053

GCD(91, 583) = 53053 / 53053

GCD(91, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

Step3:

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

GCD of 91, 583, 268, 198 is 1

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1. What is the GCD of 91, 583, 268, 198?

GCD of 91, 583, 268, 198 is 1

2. Where do I get the detailed procedure to find GCD of 91, 583, 268, 198?

You can find a detailed procedure to find GCD of 91, 583, 268, 198 on our page.

3. How to find GCD of 91, 583, 268, 198 on a calculator?

You can find the GCD of 91, 583, 268, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.