GCD of 381, 525, 91, 714 Calculator

Given Input numbers are 381, 525, 91, 714

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 91

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

1, 7, 13, 91

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 381, 525, 91, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 525, 91, 714 is 1.

Therefore, GCD of numbers 381, 525, 91, 714 is 1

Given Input Data is 381, 525, 91, 714

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 91 is 7 x 13

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(381, 525) = 66675

GCD(381, 525) = ( 381 x 525 ) / 66675

GCD(381, 525) = 200025 / 66675

GCD(381, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 91

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

LCM(3, 91) = 273

GCD(3, 91) = ( 3 x 91 ) / 273

GCD(3, 91) = 273 / 273

GCD(3, 91) = 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 381, 525, 91, 714 is 1

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• GCD of 405, 724, 78, 481
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1. What is the GCD of 381, 525, 91, 714?

GCD of 381, 525, 91, 714 is 1

2. Where do I get the detailed procedure to find GCD of 381, 525, 91, 714?

You can find a detailed procedure to find GCD of 381, 525, 91, 714 on our page.

3. How to find GCD of 381, 525, 91, 714 on a calculator?

You can find the GCD of 381, 525, 91, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.