GCD of 238, 978, 340, 930 Calculator

Given Input numbers are 238, 978, 340, 930

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

Greatest Common Divisior

We found the divisors of 238, 978, 340, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 978, 340, 930 is 2.

Therefore, GCD of numbers 238, 978, 340, 930 is 2

Given Input Data is 238, 978, 340, 930

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 340 is 2 x 2 x 5 x 17

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

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(238, 978) = 116382

GCD(238, 978) = ( 238 x 978 ) / 116382

GCD(238, 978) = 232764 / 116382

GCD(238, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 930

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

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

GCD(2, 930) = 1860 / 930

GCD(2, 930) = 2

GCD of 238, 978, 340, 930 is 2

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1. What is the GCD of 238, 978, 340, 930?

GCD of 238, 978, 340, 930 is 2

2. Where do I get the detailed procedure to find GCD of 238, 978, 340, 930?

You can find a detailed procedure to find GCD of 238, 978, 340, 930 on our page.

3. How to find GCD of 238, 978, 340, 930 on a calculator?

You can find the GCD of 238, 978, 340, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.