GCD of 71, 386, 919, 924 Calculator

Given Input numbers are 71, 386, 919, 924

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 71, 386, 919, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 386, 919, 924 is 1.

Therefore, GCD of numbers 71, 386, 919, 924 is 1

Given Input Data is 71, 386, 919, 924

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

Prime Factorization of 71 is 71

Prime Factorization of 386 is 2 x 193

Prime Factorization of 919 is 919

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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(71, 386) = 27406

GCD(71, 386) = ( 71 x 386 ) / 27406

GCD(71, 386) = 27406 / 27406

GCD(71, 386) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 71, 386, 919, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 191, 394, 783
• GCD of 28, 698, 981, 827
• GCD of 82, 143, 560, 391
• GCD of 12, 403, 528, 708
• GCD of 66, 109, 368, 165

1. What is the GCD of 71, 386, 919, 924?

GCD of 71, 386, 919, 924 is 1

2. Where do I get the detailed procedure to find GCD of 71, 386, 919, 924?

You can find a detailed procedure to find GCD of 71, 386, 919, 924 on our page.

3. How to find GCD of 71, 386, 919, 924 on a calculator?

You can find the GCD of 71, 386, 919, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.