GCD of 982, 428, 920, 352 Calculator

Given Input numbers are 982, 428, 920, 352

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 982, 428, 920, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 428, 920, 352 is 2.

Therefore, GCD of numbers 982, 428, 920, 352 is 2

Given Input Data is 982, 428, 920, 352

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(982, 428) = 210148

GCD(982, 428) = ( 982 x 428 ) / 210148

GCD(982, 428) = 420296 / 210148

GCD(982, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 352

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

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

GCD(2, 352) = 704 / 352

GCD(2, 352) = 2

GCD of 982, 428, 920, 352 is 2

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1. What is the GCD of 982, 428, 920, 352?

GCD of 982, 428, 920, 352 is 2

2. Where do I get the detailed procedure to find GCD of 982, 428, 920, 352?

You can find a detailed procedure to find GCD of 982, 428, 920, 352 on our page.

3. How to find GCD of 982, 428, 920, 352 on a calculator?

You can find the GCD of 982, 428, 920, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.