GCD of 614, 667, 53, 231 Calculator

Given Input numbers are 614, 667, 53, 231

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 614, 667, 53, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 667, 53, 231 is 1.

Therefore, GCD of numbers 614, 667, 53, 231 is 1

Given Input Data is 614, 667, 53, 231

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 667 is 23 x 29

Prime Factorization of 53 is 53

Prime Factorization of 231 is 3 x 7 x 11

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(614, 667) = 409538

GCD(614, 667) = ( 614 x 667 ) / 409538

GCD(614, 667) = 409538 / 409538

GCD(614, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 614, 667, 53, 231 is 1

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• GCD of 268, 916, 94, 244
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1. What is the GCD of 614, 667, 53, 231?

GCD of 614, 667, 53, 231 is 1

2. Where do I get the detailed procedure to find GCD of 614, 667, 53, 231?

You can find a detailed procedure to find GCD of 614, 667, 53, 231 on our page.

3. How to find GCD of 614, 667, 53, 231 on a calculator?

You can find the GCD of 614, 667, 53, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.