GCD of 34, 194, 371, 987 Calculator

Given Input numbers are 34, 194, 371, 987

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 34, 194, 371, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 194, 371, 987 is 1.

Therefore, GCD of numbers 34, 194, 371, 987 is 1

Given Input Data is 34, 194, 371, 987

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 371 is 7 x 53

Prime Factorization of 987 is 3 x 7 x 47

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 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 34, 194, 371, 987 is 1

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1. What is the GCD of 34, 194, 371, 987?

GCD of 34, 194, 371, 987 is 1

2. Where do I get the detailed procedure to find GCD of 34, 194, 371, 987?

You can find a detailed procedure to find GCD of 34, 194, 371, 987 on our page.

3. How to find GCD of 34, 194, 371, 987 on a calculator?

You can find the GCD of 34, 194, 371, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.