GCD of 149, 374, 81, 342 Calculator

Given Input numbers are 149, 374, 81, 342

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

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 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

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

Greatest Common Divisior

We found the divisors of 149, 374, 81, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 374, 81, 342 is 1.

Therefore, GCD of numbers 149, 374, 81, 342 is 1

Given Input Data is 149, 374, 81, 342

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

Prime Factorization of 149 is 149

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 81 is 3 x 3 x 3 x 3

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

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(149, 374) = 55726

GCD(149, 374) = ( 149 x 374 ) / 55726

GCD(149, 374) = 55726 / 55726

GCD(149, 374) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 149, 374, 81, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 566, 90, 496
• GCD of 214, 513, 36, 284
• GCD of 415, 920, 12, 132
• GCD of 665, 966, 23, 595
• GCD of 454, 342, 28, 315

1. What is the GCD of 149, 374, 81, 342?

GCD of 149, 374, 81, 342 is 1

2. Where do I get the detailed procedure to find GCD of 149, 374, 81, 342?

You can find a detailed procedure to find GCD of 149, 374, 81, 342 on our page.

3. How to find GCD of 149, 374, 81, 342 on a calculator?

You can find the GCD of 149, 374, 81, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.