GCD of 343, 277, 33, 198 Calculator

Given Input numbers are 343, 277, 33, 198

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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 343, 277, 33, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 277, 33, 198 is 1.

Therefore, GCD of numbers 343, 277, 33, 198 is 1

Given Input Data is 343, 277, 33, 198

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 277 is 277

Prime Factorization of 33 is 3 x 11

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(343, 277) = 95011

GCD(343, 277) = ( 343 x 277 ) / 95011

GCD(343, 277) = 95011 / 95011

GCD(343, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 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 343, 277, 33, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 878, 47, 376
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• GCD of 458, 897, 90, 621
• GCD of 338, 129, 60, 715
• GCD of 503, 128, 14, 935

1. What is the GCD of 343, 277, 33, 198?

GCD of 343, 277, 33, 198 is 1

2. Where do I get the detailed procedure to find GCD of 343, 277, 33, 198?

You can find a detailed procedure to find GCD of 343, 277, 33, 198 on our page.

3. How to find GCD of 343, 277, 33, 198 on a calculator?

You can find the GCD of 343, 277, 33, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.