GCD of 734, 714, 171, 283 Calculator

Given Input numbers are 734, 714, 171, 283

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 734, 714, 171, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 714, 171, 283 is 1.

Therefore, GCD of numbers 734, 714, 171, 283 is 1

Given Input Data is 734, 714, 171, 283

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 283 is 283

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(734, 714) = 262038

GCD(734, 714) = ( 734 x 714 ) / 262038

GCD(734, 714) = 524076 / 262038

GCD(734, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 283

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

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

GCD(1, 283) = 283 / 283

GCD(1, 283) = 1

GCD of 734, 714, 171, 283 is 1

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1. What is the GCD of 734, 714, 171, 283?

GCD of 734, 714, 171, 283 is 1

2. Where do I get the detailed procedure to find GCD of 734, 714, 171, 283?

You can find a detailed procedure to find GCD of 734, 714, 171, 283 on our page.

3. How to find GCD of 734, 714, 171, 283 on a calculator?

You can find the GCD of 734, 714, 171, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.