GCD of 198, 702, 49, 674 Calculator

Given Input numbers are 198, 702, 49, 674

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 198, 702, 49, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 702, 49, 674 is 1.

Therefore, GCD of numbers 198, 702, 49, 674 is 1

Given Input Data is 198, 702, 49, 674

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 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 49 is 7 x 7

Prime Factorization of 674 is 2 x 337

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, 702) = 7722

GCD(198, 702) = ( 198 x 702 ) / 7722

GCD(198, 702) = 138996 / 7722

GCD(198, 702) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 49

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

LCM(18, 49) = 882

GCD(18, 49) = ( 18 x 49 ) / 882

GCD(18, 49) = 882 / 882

GCD(18, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 198, 702, 49, 674 is 1

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• GCD of 541, 947, 30, 658
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1. What is the GCD of 198, 702, 49, 674?

GCD of 198, 702, 49, 674 is 1

2. Where do I get the detailed procedure to find GCD of 198, 702, 49, 674?

You can find a detailed procedure to find GCD of 198, 702, 49, 674 on our page.

3. How to find GCD of 198, 702, 49, 674 on a calculator?

You can find the GCD of 198, 702, 49, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.