GCD of 221, 474, 677, 274 Calculator

Given Input numbers are 221, 474, 677, 274

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 221, 474, 677, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 474, 677, 274 is 1.

Therefore, GCD of numbers 221, 474, 677, 274 is 1

Given Input Data is 221, 474, 677, 274

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 677 is 677

Prime Factorization of 274 is 2 x 137

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(221, 474) = 104754

GCD(221, 474) = ( 221 x 474 ) / 104754

GCD(221, 474) = 104754 / 104754

GCD(221, 474) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 221, 474, 677, 274 is 1

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1. What is the GCD of 221, 474, 677, 274?

GCD of 221, 474, 677, 274 is 1

2. Where do I get the detailed procedure to find GCD of 221, 474, 677, 274?

You can find a detailed procedure to find GCD of 221, 474, 677, 274 on our page.

3. How to find GCD of 221, 474, 677, 274 on a calculator?

You can find the GCD of 221, 474, 677, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.