GCD of 342, 160, 37 Calculator

Given Input numbers are 342, 160, 37

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Greatest Common Divisior

We found the divisors of 342, 160, 37 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 160, 37 is 1.

Therefore, GCD of numbers 342, 160, 37 is 1

Given Input Data is 342, 160, 37

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 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 37 is 37

The above numbers do not have any common prime factor. So GCD is 1

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, 160) = 27360

GCD(342, 160) = ( 342 x 160 ) / 27360

GCD(342, 160) = 54720 / 27360

GCD(342, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

GCD of 342, 160, 37 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 941, 64
• GCD of 263, 820, 40
• GCD of 163, 376, 31
• GCD of 355, 722, 54
• GCD of 800, 687, 40

1. What is the GCD of 342, 160, 37?

GCD of 342, 160, 37 is 1

2. Where do I get the detailed procedure to find GCD of 342, 160, 37?

You can find a detailed procedure to find GCD of 342, 160, 37 on our page.

3. How to find GCD of 342, 160, 37 on a calculator?

You can find the GCD of 342, 160, 37 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.