GCD of 345, 170, 49, 463 Calculator

Given Input numbers are 345, 170, 49, 463

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 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 345, 170, 49, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 170, 49, 463 is 1.

Therefore, GCD of numbers 345, 170, 49, 463 is 1

Given Input Data is 345, 170, 49, 463

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 170 is 2 x 5 x 17

Prime Factorization of 49 is 7 x 7

Prime Factorization of 463 is 463

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, 170) = 11730

GCD(345, 170) = ( 345 x 170 ) / 11730

GCD(345, 170) = 58650 / 11730

GCD(345, 170) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 345, 170, 49, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 347, 19, 754
• GCD of 915, 799, 94, 491
• GCD of 193, 599, 30, 773
• GCD of 965, 510, 51, 938
• GCD of 238, 917, 45, 707

1. What is the GCD of 345, 170, 49, 463?

GCD of 345, 170, 49, 463 is 1

2. Where do I get the detailed procedure to find GCD of 345, 170, 49, 463?

You can find a detailed procedure to find GCD of 345, 170, 49, 463 on our page.

3. How to find GCD of 345, 170, 49, 463 on a calculator?

You can find the GCD of 345, 170, 49, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.