GCD of 345, 435, 47, 341 Calculator

Given Input numbers are 345, 435, 47, 341

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 345, 435, 47, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 435, 47, 341 is 1.

Therefore, GCD of numbers 345, 435, 47, 341 is 1

Given Input Data is 345, 435, 47, 341

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 47 is 47

Prime Factorization of 341 is 11 x 31

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(345, 435) = 10005

GCD(345, 435) = ( 345 x 435 ) / 10005

GCD(345, 435) = 150075 / 10005

GCD(345, 435) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 47

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

LCM(15, 47) = 705

GCD(15, 47) = ( 15 x 47 ) / 705

GCD(15, 47) = 705 / 705

GCD(15, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 345, 435, 47, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 116, 45, 519
• GCD of 419, 400, 30, 682
• GCD of 100, 259, 24, 919
• GCD of 615, 985, 90, 456
• GCD of 458, 985, 38, 665

1. What is the GCD of 345, 435, 47, 341?

GCD of 345, 435, 47, 341 is 1

2. Where do I get the detailed procedure to find GCD of 345, 435, 47, 341?

You can find a detailed procedure to find GCD of 345, 435, 47, 341 on our page.

3. How to find GCD of 345, 435, 47, 341 on a calculator?

You can find the GCD of 345, 435, 47, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.