GCD of 35, 115, 105, 239 Calculator

Given Input numbers are 35, 115, 105, 239

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 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 35, 115, 105, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 115, 105, 239 is 1.

Therefore, GCD of numbers 35, 115, 105, 239 is 1

Given Input Data is 35, 115, 105, 239

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 115 is 5 x 23

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 239 is 239

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, 115) = 805

GCD(35, 115) = ( 35 x 115 ) / 805

GCD(35, 115) = 4025 / 805

GCD(35, 115) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 105

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

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

GCD(5, 105) = 525 / 105

GCD(5, 105) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 239

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

LCM(5, 239) = 1195

GCD(5, 239) = ( 5 x 239 ) / 1195

GCD(5, 239) = 1195 / 1195

GCD(5, 239) = 1

GCD of 35, 115, 105, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 810, 679, 760
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• GCD of 67, 206, 946, 790

1. What is the GCD of 35, 115, 105, 239?

GCD of 35, 115, 105, 239 is 1

2. Where do I get the detailed procedure to find GCD of 35, 115, 105, 239?

You can find a detailed procedure to find GCD of 35, 115, 105, 239 on our page.

3. How to find GCD of 35, 115, 105, 239 on a calculator?

You can find the GCD of 35, 115, 105, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.