GCD of 374, 536, 174, 982 Calculator

Given Input numbers are 374, 536, 174, 982

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 982

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

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 374, 536, 174, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 536, 174, 982 is 2.

Therefore, GCD of numbers 374, 536, 174, 982 is 2

Given Input Data is 374, 536, 174, 982

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 982 is 2 x 491

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(374, 536) = 100232

GCD(374, 536) = ( 374 x 536 ) / 100232

GCD(374, 536) = 200464 / 100232

GCD(374, 536) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

GCD of 374, 536, 174, 982 is 2

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1. What is the GCD of 374, 536, 174, 982?

GCD of 374, 536, 174, 982 is 2

2. Where do I get the detailed procedure to find GCD of 374, 536, 174, 982?

You can find a detailed procedure to find GCD of 374, 536, 174, 982 on our page.

3. How to find GCD of 374, 536, 174, 982 on a calculator?

You can find the GCD of 374, 536, 174, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.