GCD of 138, 357, 145, 344 Calculator

Given Input numbers are 138, 357, 145, 344

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 138, 357, 145, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 357, 145, 344 is 1.

Therefore, GCD of numbers 138, 357, 145, 344 is 1

Given Input Data is 138, 357, 145, 344

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 145 is 5 x 29

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(138, 357) = 16422

GCD(138, 357) = ( 138 x 357 ) / 16422

GCD(138, 357) = 49266 / 16422

GCD(138, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 145

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

LCM(3, 145) = 435

GCD(3, 145) = ( 3 x 145 ) / 435

GCD(3, 145) = 435 / 435

GCD(3, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 138, 357, 145, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 919, 636, 635
• GCD of 131, 125, 760, 229
• GCD of 866, 132, 262, 392
• GCD of 376, 356, 490, 417
• GCD of 947, 877, 188, 752

1. What is the GCD of 138, 357, 145, 344?

GCD of 138, 357, 145, 344 is 1

2. Where do I get the detailed procedure to find GCD of 138, 357, 145, 344?

You can find a detailed procedure to find GCD of 138, 357, 145, 344 on our page.

3. How to find GCD of 138, 357, 145, 344 on a calculator?

You can find the GCD of 138, 357, 145, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.