GCD of 978, 458, 238, 772 Calculator

Given Input numbers are 978, 458, 238, 772

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

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 978, 458, 238, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 458, 238, 772 is 2.

Therefore, GCD of numbers 978, 458, 238, 772 is 2

Given Input Data is 978, 458, 238, 772

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 458 is 2 x 229

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 772 is 2 x 2 x 193

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(978, 458) = 223962

GCD(978, 458) = ( 978 x 458 ) / 223962

GCD(978, 458) = 447924 / 223962

GCD(978, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

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

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 978, 458, 238, 772 is 2

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1. What is the GCD of 978, 458, 238, 772?

GCD of 978, 458, 238, 772 is 2

2. Where do I get the detailed procedure to find GCD of 978, 458, 238, 772?

You can find a detailed procedure to find GCD of 978, 458, 238, 772 on our page.

3. How to find GCD of 978, 458, 238, 772 on a calculator?

You can find the GCD of 978, 458, 238, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.