GCD of 714, 884, 932, 355 Calculator

Given Input numbers are 714, 884, 932, 355

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 714, 884, 932, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 884, 932, 355 is 1.

Therefore, GCD of numbers 714, 884, 932, 355 is 1

Given Input Data is 714, 884, 932, 355

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 884 is 2 x 2 x 13 x 17

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 355 is 5 x 71

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, 884) = 18564

GCD(714, 884) = ( 714 x 884 ) / 18564

GCD(714, 884) = 631176 / 18564

GCD(714, 884) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 932

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

LCM(34, 932) = 15844

GCD(34, 932) = ( 34 x 932 ) / 15844

GCD(34, 932) = 31688 / 15844

GCD(34, 932) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

GCD of 714, 884, 932, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 532, 550, 228
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• GCD of 873, 346, 832, 936
• GCD of 442, 777, 746, 139

1. What is the GCD of 714, 884, 932, 355?

GCD of 714, 884, 932, 355 is 1

2. Where do I get the detailed procedure to find GCD of 714, 884, 932, 355?

You can find a detailed procedure to find GCD of 714, 884, 932, 355 on our page.

3. How to find GCD of 714, 884, 932, 355 on a calculator?

You can find the GCD of 714, 884, 932, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.