GCD of 351, 200, 194, 954 Calculator

Given Input numbers are 351, 200, 194, 954

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 351, 200, 194, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 200, 194, 954 is 1.

Therefore, GCD of numbers 351, 200, 194, 954 is 1

Given Input Data is 351, 200, 194, 954

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 194 is 2 x 97

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(351, 200) = 70200

GCD(351, 200) = ( 351 x 200 ) / 70200

GCD(351, 200) = 70200 / 70200

GCD(351, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 351, 200, 194, 954 is 1

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1. What is the GCD of 351, 200, 194, 954?

GCD of 351, 200, 194, 954 is 1

2. Where do I get the detailed procedure to find GCD of 351, 200, 194, 954?

You can find a detailed procedure to find GCD of 351, 200, 194, 954 on our page.

3. How to find GCD of 351, 200, 194, 954 on a calculator?

You can find the GCD of 351, 200, 194, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.