GCD of 44, 974, 182, 170 Calculator

Given Input numbers are 44, 974, 182, 170

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 44, 974, 182, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 974, 182, 170 is 2.

Therefore, GCD of numbers 44, 974, 182, 170 is 2

Given Input Data is 44, 974, 182, 170

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 974 is 2 x 487

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 170 is 2 x 5 x 17

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(44, 974) = 21428

GCD(44, 974) = ( 44 x 974 ) / 21428

GCD(44, 974) = 42856 / 21428

GCD(44, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 182

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

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

GCD(2, 182) = 364 / 182

GCD(2, 182) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 170

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

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

GCD(2, 170) = 340 / 170

GCD(2, 170) = 2

GCD of 44, 974, 182, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 723, 664, 830
• GCD of 53, 115, 723, 425
• GCD of 37, 991, 838, 547
• GCD of 26, 983, 130, 840
• GCD of 16, 726, 587, 250

1. What is the GCD of 44, 974, 182, 170?

GCD of 44, 974, 182, 170 is 2

2. Where do I get the detailed procedure to find GCD of 44, 974, 182, 170?

You can find a detailed procedure to find GCD of 44, 974, 182, 170 on our page.

3. How to find GCD of 44, 974, 182, 170 on a calculator?

You can find the GCD of 44, 974, 182, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.