GCD of 105, 214, 974 Calculator

Given Input numbers are 105, 214, 974

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 105, 214, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 214, 974 is 1.

Therefore, GCD of numbers 105, 214, 974 is 1

Given Input Data is 105, 214, 974

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 214 is 2 x 107

Prime Factorization of 974 is 2 x 487

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(105, 214) = 22470

GCD(105, 214) = ( 105 x 214 ) / 22470

GCD(105, 214) = 22470 / 22470

GCD(105, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 105, 214, 974 is 1

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1. What is the GCD of 105, 214, 974?

GCD of 105, 214, 974 is 1

2. Where do I get the detailed procedure to find GCD of 105, 214, 974?

You can find a detailed procedure to find GCD of 105, 214, 974 on our page.

3. How to find GCD of 105, 214, 974 on a calculator?

You can find the GCD of 105, 214, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.