GCD of 350, 158, 82, 174 Calculator

Given Input numbers are 350, 158, 82, 174

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 350, 158, 82, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 158, 82, 174 is 2.

Therefore, GCD of numbers 350, 158, 82, 174 is 2

Given Input Data is 350, 158, 82, 174

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 158 is 2 x 79

Prime Factorization of 82 is 2 x 41

Prime Factorization of 174 is 2 x 3 x 29

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(350, 158) = 27650

GCD(350, 158) = ( 350 x 158 ) / 27650

GCD(350, 158) = 55300 / 27650

GCD(350, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

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

GCD of 350, 158, 82, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 332, 93, 199
• GCD of 943, 315, 36, 592
• GCD of 778, 769, 98, 981
• GCD of 110, 847, 18, 212
• GCD of 241, 552, 51, 356

1. What is the GCD of 350, 158, 82, 174?

GCD of 350, 158, 82, 174 is 2

2. Where do I get the detailed procedure to find GCD of 350, 158, 82, 174?

You can find a detailed procedure to find GCD of 350, 158, 82, 174 on our page.

3. How to find GCD of 350, 158, 82, 174 on a calculator?

You can find the GCD of 350, 158, 82, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.