GCD of 714, 888, 91, 921 Calculator

Given Input numbers are 714, 888, 91, 921

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 714, 888, 91, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 888, 91, 921 is 1.

Therefore, GCD of numbers 714, 888, 91, 921 is 1

Given Input Data is 714, 888, 91, 921

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 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 91 is 7 x 13

Prime Factorization of 921 is 3 x 307

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, 888) = 105672

GCD(714, 888) = ( 714 x 888 ) / 105672

GCD(714, 888) = 634032 / 105672

GCD(714, 888) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 91

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

LCM(6, 91) = 546

GCD(6, 91) = ( 6 x 91 ) / 546

GCD(6, 91) = 546 / 546

GCD(6, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 714, 888, 91, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 132, 24, 656
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• GCD of 862, 165, 82, 682
• GCD of 180, 569, 97, 455

1. What is the GCD of 714, 888, 91, 921?

GCD of 714, 888, 91, 921 is 1

2. Where do I get the detailed procedure to find GCD of 714, 888, 91, 921?

You can find a detailed procedure to find GCD of 714, 888, 91, 921 on our page.

3. How to find GCD of 714, 888, 91, 921 on a calculator?

You can find the GCD of 714, 888, 91, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.