GCD of 406, 952, 25, 235 Calculator

Given Input numbers are 406, 952, 25, 235

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 235

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

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 406, 952, 25, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 952, 25, 235 is 1.

Therefore, GCD of numbers 406, 952, 25, 235 is 1

Given Input Data is 406, 952, 25, 235

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 25 is 5 x 5

Prime Factorization of 235 is 5 x 47

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(406, 952) = 27608

GCD(406, 952) = ( 406 x 952 ) / 27608

GCD(406, 952) = 386512 / 27608

GCD(406, 952) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 25

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

LCM(14, 25) = 350

GCD(14, 25) = ( 14 x 25 ) / 350

GCD(14, 25) = 350 / 350

GCD(14, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 406, 952, 25, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 974, 36, 946
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• GCD of 322, 560, 66, 581
• GCD of 277, 487, 70, 780

1. What is the GCD of 406, 952, 25, 235?

GCD of 406, 952, 25, 235 is 1

2. Where do I get the detailed procedure to find GCD of 406, 952, 25, 235?

You can find a detailed procedure to find GCD of 406, 952, 25, 235 on our page.

3. How to find GCD of 406, 952, 25, 235 on a calculator?

You can find the GCD of 406, 952, 25, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.