GCD of 198, 470, 91, 670 Calculator

Given Input numbers are 198, 470, 91, 670

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 91

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

1, 7, 13, 91

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 198, 470, 91, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 470, 91, 670 is 1.

Therefore, GCD of numbers 198, 470, 91, 670 is 1

Given Input Data is 198, 470, 91, 670

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 470 is 2 x 5 x 47

Prime Factorization of 91 is 7 x 13

Prime Factorization of 670 is 2 x 5 x 67

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, 470) = 46530

GCD(198, 470) = ( 198 x 470 ) / 46530

GCD(198, 470) = 93060 / 46530

GCD(198, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 198, 470, 91, 670 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 939, 58, 147
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• GCD of 499, 412, 63, 372
• GCD of 132, 147, 95, 669
• GCD of 537, 540, 30, 946

1. What is the GCD of 198, 470, 91, 670?

GCD of 198, 470, 91, 670 is 1

2. Where do I get the detailed procedure to find GCD of 198, 470, 91, 670?

You can find a detailed procedure to find GCD of 198, 470, 91, 670 on our page.

3. How to find GCD of 198, 470, 91, 670 on a calculator?

You can find the GCD of 198, 470, 91, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.