GCD of 342, 645, 35, 250 Calculator

Given Input numbers are 342, 645, 35, 250

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 342, 645, 35, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 645, 35, 250 is 1.

Therefore, GCD of numbers 342, 645, 35, 250 is 1

Given Input Data is 342, 645, 35, 250

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 645 is 3 x 5 x 43

Prime Factorization of 35 is 5 x 7

Prime Factorization of 250 is 2 x 5 x 5 x 5

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, 645) = 73530

GCD(342, 645) = ( 342 x 645 ) / 73530

GCD(342, 645) = 220590 / 73530

GCD(342, 645) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 35

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

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

GCD(3, 35) = 105 / 105

GCD(3, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 342, 645, 35, 250 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 237, 14, 239
• GCD of 423, 106, 66, 330
• GCD of 461, 459, 31, 749
• GCD of 600, 952, 92, 256
• GCD of 170, 429, 98, 949

1. What is the GCD of 342, 645, 35, 250?

GCD of 342, 645, 35, 250 is 1

2. Where do I get the detailed procedure to find GCD of 342, 645, 35, 250?

You can find a detailed procedure to find GCD of 342, 645, 35, 250 on our page.

3. How to find GCD of 342, 645, 35, 250 on a calculator?

You can find the GCD of 342, 645, 35, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.