GCD of 354, 930, 39, 992 Calculator

Given Input numbers are 354, 930, 39, 992

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

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 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 354, 930, 39, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 930, 39, 992 is 1.

Therefore, GCD of numbers 354, 930, 39, 992 is 1

Given Input Data is 354, 930, 39, 992

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

Prime Factorization of 354 is 2 x 3 x 59

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(354, 930) = 54870

GCD(354, 930) = ( 354 x 930 ) / 54870

GCD(354, 930) = 329220 / 54870

GCD(354, 930) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 39

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

LCM(6, 39) = 78

GCD(6, 39) = ( 6 x 39 ) / 78

GCD(6, 39) = 234 / 78

GCD(6, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 992

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

LCM(3, 992) = 2976

GCD(3, 992) = ( 3 x 992 ) / 2976

GCD(3, 992) = 2976 / 2976

GCD(3, 992) = 1

GCD of 354, 930, 39, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 993, 63, 534
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• GCD of 267, 557, 65, 560
• GCD of 323, 353, 63, 594
• GCD of 286, 260, 69, 914

1. What is the GCD of 354, 930, 39, 992?

GCD of 354, 930, 39, 992 is 1

2. Where do I get the detailed procedure to find GCD of 354, 930, 39, 992?

You can find a detailed procedure to find GCD of 354, 930, 39, 992 on our page.

3. How to find GCD of 354, 930, 39, 992 on a calculator?

You can find the GCD of 354, 930, 39, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.