GCD of 714, 217, 298, 934 Calculator

Given Input numbers are 714, 217, 298, 934

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Greatest Common Divisior

We found the divisors of 714, 217, 298, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 217, 298, 934 is 1.

Therefore, GCD of numbers 714, 217, 298, 934 is 1

Given Input Data is 714, 217, 298, 934

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 217 is 7 x 31

Prime Factorization of 298 is 2 x 149

Prime Factorization of 934 is 2 x 467

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, 217) = 22134

GCD(714, 217) = ( 714 x 217 ) / 22134

GCD(714, 217) = 154938 / 22134

GCD(714, 217) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 298

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

LCM(7, 298) = 2086

GCD(7, 298) = ( 7 x 298 ) / 2086

GCD(7, 298) = 2086 / 2086

GCD(7, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 934

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

LCM(1, 934) = 934

GCD(1, 934) = ( 1 x 934 ) / 934

GCD(1, 934) = 934 / 934

GCD(1, 934) = 1

GCD of 714, 217, 298, 934 is 1

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1. What is the GCD of 714, 217, 298, 934?

GCD of 714, 217, 298, 934 is 1

2. Where do I get the detailed procedure to find GCD of 714, 217, 298, 934?

You can find a detailed procedure to find GCD of 714, 217, 298, 934 on our page.

3. How to find GCD of 714, 217, 298, 934 on a calculator?

You can find the GCD of 714, 217, 298, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.