GCD of 235, 240, 46, 694 Calculator

Given Input numbers are 235, 240, 46, 694

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 235, 240, 46, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 240, 46, 694 is 1.

Therefore, GCD of numbers 235, 240, 46, 694 is 1

Given Input Data is 235, 240, 46, 694

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 46 is 2 x 23

Prime Factorization of 694 is 2 x 347

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(235, 240) = 11280

GCD(235, 240) = ( 235 x 240 ) / 11280

GCD(235, 240) = 56400 / 11280

GCD(235, 240) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 46

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

LCM(5, 46) = 230

GCD(5, 46) = ( 5 x 46 ) / 230

GCD(5, 46) = 230 / 230

GCD(5, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 235, 240, 46, 694 is 1

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1. What is the GCD of 235, 240, 46, 694?

GCD of 235, 240, 46, 694 is 1

2. Where do I get the detailed procedure to find GCD of 235, 240, 46, 694?

You can find a detailed procedure to find GCD of 235, 240, 46, 694 on our page.

3. How to find GCD of 235, 240, 46, 694 on a calculator?

You can find the GCD of 235, 240, 46, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.