GCD of 930, 946, 38, 654 Calculator

Given Input numbers are 930, 946, 38, 654

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 930, 946, 38, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 946, 38, 654 is 2.

Therefore, GCD of numbers 930, 946, 38, 654 is 2

Given Input Data is 930, 946, 38, 654

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 946 is 2 x 11 x 43

Prime Factorization of 38 is 2 x 19

Prime Factorization of 654 is 2 x 3 x 109

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 946) = 439890

GCD(930, 946) = ( 930 x 946 ) / 439890

GCD(930, 946) = 879780 / 439890

GCD(930, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 654

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

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

GCD(2, 654) = 1308 / 654

GCD(2, 654) = 2

GCD of 930, 946, 38, 654 is 2

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1. What is the GCD of 930, 946, 38, 654?

GCD of 930, 946, 38, 654 is 2

2. Where do I get the detailed procedure to find GCD of 930, 946, 38, 654?

You can find a detailed procedure to find GCD of 930, 946, 38, 654 on our page.

3. How to find GCD of 930, 946, 38, 654 on a calculator?

You can find the GCD of 930, 946, 38, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.