GCD of 214, 794, 60, 147 Calculator

Given Input numbers are 214, 794, 60, 147

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 214, 794, 60, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 794, 60, 147 is 1.

Therefore, GCD of numbers 214, 794, 60, 147 is 1

Given Input Data is 214, 794, 60, 147

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 794 is 2 x 397

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 147 is 3 x 7 x 7

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(214, 794) = 84958

GCD(214, 794) = ( 214 x 794 ) / 84958

GCD(214, 794) = 169916 / 84958

GCD(214, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 214, 794, 60, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 390, 87, 393
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• GCD of 271, 749, 66, 508

1. What is the GCD of 214, 794, 60, 147?

GCD of 214, 794, 60, 147 is 1

2. Where do I get the detailed procedure to find GCD of 214, 794, 60, 147?

You can find a detailed procedure to find GCD of 214, 794, 60, 147 on our page.

3. How to find GCD of 214, 794, 60, 147 on a calculator?

You can find the GCD of 214, 794, 60, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.