GCD of 342, 932, 74, 232 Calculator

Given Input numbers are 342, 932, 74, 232

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 342, 932, 74, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 932, 74, 232 is 2.

Therefore, GCD of numbers 342, 932, 74, 232 is 2

Given Input Data is 342, 932, 74, 232

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 74 is 2 x 37

Prime Factorization of 232 is 2 x 2 x 2 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(342, 932) = 159372

GCD(342, 932) = ( 342 x 932 ) / 159372

GCD(342, 932) = 318744 / 159372

GCD(342, 932) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 342, 932, 74, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 114, 43, 621
• GCD of 381, 559, 62, 897
• GCD of 527, 362, 85, 436
• GCD of 685, 223, 50, 646
• GCD of 308, 147, 19, 208

1. What is the GCD of 342, 932, 74, 232?

GCD of 342, 932, 74, 232 is 2

2. Where do I get the detailed procedure to find GCD of 342, 932, 74, 232?

You can find a detailed procedure to find GCD of 342, 932, 74, 232 on our page.

3. How to find GCD of 342, 932, 74, 232 on a calculator?

You can find the GCD of 342, 932, 74, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.