GCD of 714, 293, 16, 755 Calculator

Given Input numbers are 714, 293, 16, 755

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

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 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 714, 293, 16, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 293, 16, 755 is 1.

Therefore, GCD of numbers 714, 293, 16, 755 is 1

Given Input Data is 714, 293, 16, 755

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

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

Prime Factorization of 293 is 293

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 755 is 5 x 151

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(714, 293) = 209202

GCD(714, 293) = ( 714 x 293 ) / 209202

GCD(714, 293) = 209202 / 209202

GCD(714, 293) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 714, 293, 16, 755 is 1

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1. What is the GCD of 714, 293, 16, 755?

GCD of 714, 293, 16, 755 is 1

2. Where do I get the detailed procedure to find GCD of 714, 293, 16, 755?

You can find a detailed procedure to find GCD of 714, 293, 16, 755 on our page.

3. How to find GCD of 714, 293, 16, 755 on a calculator?

You can find the GCD of 714, 293, 16, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.