GCD of 930, 742, 12, 119 Calculator

Given Input numbers are 930, 742, 12, 119

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 930, 742, 12, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 742, 12, 119 is 1.

Therefore, GCD of numbers 930, 742, 12, 119 is 1

Given Input Data is 930, 742, 12, 119

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 742 is 2 x 7 x 53

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 119 is 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(930, 742) = 345030

GCD(930, 742) = ( 930 x 742 ) / 345030

GCD(930, 742) = 690060 / 345030

GCD(930, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

GCD of 930, 742, 12, 119 is 1

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• GCD of 292, 842, 72, 466
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1. What is the GCD of 930, 742, 12, 119?

GCD of 930, 742, 12, 119 is 1

2. Where do I get the detailed procedure to find GCD of 930, 742, 12, 119?

You can find a detailed procedure to find GCD of 930, 742, 12, 119 on our page.

3. How to find GCD of 930, 742, 12, 119 on a calculator?

You can find the GCD of 930, 742, 12, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.