GCD of 714, 398, 264 Calculator

Given Input numbers are 714, 398, 264

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 714, 398, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 398, 264 is 2.

Therefore, GCD of numbers 714, 398, 264 is 2

Given Input Data is 714, 398, 264

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 398 is 2 x 199

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 398) = 142086

GCD(714, 398) = ( 714 x 398 ) / 142086

GCD(714, 398) = 284172 / 142086

GCD(714, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 714, 398, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 114, 666
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• GCD of 324, 824, 353
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1. What is the GCD of 714, 398, 264?

GCD of 714, 398, 264 is 2

2. Where do I get the detailed procedure to find GCD of 714, 398, 264?

You can find a detailed procedure to find GCD of 714, 398, 264 on our page.

3. How to find GCD of 714, 398, 264 on a calculator?

You can find the GCD of 714, 398, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.