GCD of 930, 516, 730, 692 Calculator

Given Input numbers are 930, 516, 730, 692

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 930, 516, 730, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 516, 730, 692 is 2.

Therefore, GCD of numbers 930, 516, 730, 692 is 2

Given Input Data is 930, 516, 730, 692

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 516 is 2 x 2 x 3 x 43

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 692 is 2 x 2 x 173

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, 516) = 79980

GCD(930, 516) = ( 930 x 516 ) / 79980

GCD(930, 516) = 479880 / 79980

GCD(930, 516) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 730

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

LCM(6, 730) = 2190

GCD(6, 730) = ( 6 x 730 ) / 2190

GCD(6, 730) = 4380 / 2190

GCD(6, 730) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 692

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

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

GCD(2, 692) = 1384 / 692

GCD(2, 692) = 2

GCD of 930, 516, 730, 692 is 2

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1. What is the GCD of 930, 516, 730, 692?

GCD of 930, 516, 730, 692 is 2

2. Where do I get the detailed procedure to find GCD of 930, 516, 730, 692?

You can find a detailed procedure to find GCD of 930, 516, 730, 692 on our page.

3. How to find GCD of 930, 516, 730, 692 on a calculator?

You can find the GCD of 930, 516, 730, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.