GCD of 930, 771, 92, 828 Calculator

Given Input numbers are 930, 771, 92, 828

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 930, 771, 92, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 771, 92, 828 is 1.

Therefore, GCD of numbers 930, 771, 92, 828 is 1

Given Input Data is 930, 771, 92, 828

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 771 is 3 x 257

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(930, 771) = 239010

GCD(930, 771) = ( 930 x 771 ) / 239010

GCD(930, 771) = 717030 / 239010

GCD(930, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 92

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

LCM(3, 92) = 276

GCD(3, 92) = ( 3 x 92 ) / 276

GCD(3, 92) = 276 / 276

GCD(3, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 930, 771, 92, 828 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 930, 771, 92, 828?

GCD of 930, 771, 92, 828 is 1

2. Where do I get the detailed procedure to find GCD of 930, 771, 92, 828?

You can find a detailed procedure to find GCD of 930, 771, 92, 828 on our page.

3. How to find GCD of 930, 771, 92, 828 on a calculator?

You can find the GCD of 930, 771, 92, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.