GCD of 268, 794, 123, 714 Calculator

Given Input numbers are 268, 794, 123, 714

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 794

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

1, 2, 397, 794

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

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

Greatest Common Divisior

We found the divisors of 268, 794, 123, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 794, 123, 714 is 1.

Therefore, GCD of numbers 268, 794, 123, 714 is 1

Given Input Data is 268, 794, 123, 714

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 794 is 2 x 397

Prime Factorization of 123 is 3 x 41

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

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(268, 794) = 106396

GCD(268, 794) = ( 268 x 794 ) / 106396

GCD(268, 794) = 212792 / 106396

GCD(268, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 123

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

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

GCD(2, 123) = 246 / 246

GCD(2, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 268, 794, 123, 714 is 1

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1. What is the GCD of 268, 794, 123, 714?

GCD of 268, 794, 123, 714 is 1

2. Where do I get the detailed procedure to find GCD of 268, 794, 123, 714?

You can find a detailed procedure to find GCD of 268, 794, 123, 714 on our page.

3. How to find GCD of 268, 794, 123, 714 on a calculator?

You can find the GCD of 268, 794, 123, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.