GCD of 35, 238, 350, 663 Calculator

Given Input numbers are 35, 238, 350, 663

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

Divisors of 35

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

1, 5, 7, 35

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 35, 238, 350, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 238, 350, 663 is 1.

Therefore, GCD of numbers 35, 238, 350, 663 is 1

Given Input Data is 35, 238, 350, 663

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 663 is 3 x 13 x 17

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(35, 238) = 1190

GCD(35, 238) = ( 35 x 238 ) / 1190

GCD(35, 238) = 8330 / 1190

GCD(35, 238) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 350

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

LCM(7, 350) = 350

GCD(7, 350) = ( 7 x 350 ) / 350

GCD(7, 350) = 2450 / 350

GCD(7, 350) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 663

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

LCM(7, 663) = 4641

GCD(7, 663) = ( 7 x 663 ) / 4641

GCD(7, 663) = 4641 / 4641

GCD(7, 663) = 1

GCD of 35, 238, 350, 663 is 1

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1. What is the GCD of 35, 238, 350, 663?

GCD of 35, 238, 350, 663 is 1

2. Where do I get the detailed procedure to find GCD of 35, 238, 350, 663?

You can find a detailed procedure to find GCD of 35, 238, 350, 663 on our page.

3. How to find GCD of 35, 238, 350, 663 on a calculator?

You can find the GCD of 35, 238, 350, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.