GCD of 34, 194, 632, 949 Calculator

Given Input numbers are 34, 194, 632, 949

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 194

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

1, 2, 97, 194

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 34, 194, 632, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 194, 632, 949 is 1.

Therefore, GCD of numbers 34, 194, 632, 949 is 1

Given Input Data is 34, 194, 632, 949

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 194 is 2 x 97

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 949 is 13 x 73

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(34, 194) = 3298

GCD(34, 194) = ( 34 x 194 ) / 3298

GCD(34, 194) = 6596 / 3298

GCD(34, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

GCD of 34, 194, 632, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 302, 941, 239
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• GCD of 70, 661, 440, 376

1. What is the GCD of 34, 194, 632, 949?

GCD of 34, 194, 632, 949 is 1

2. Where do I get the detailed procedure to find GCD of 34, 194, 632, 949?

You can find a detailed procedure to find GCD of 34, 194, 632, 949 on our page.

3. How to find GCD of 34, 194, 632, 949 on a calculator?

You can find the GCD of 34, 194, 632, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.