GCD of 35, 725, 432, 468 Calculator

Given Input numbers are 35, 725, 432, 468

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 35, 725, 432, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 725, 432, 468 is 1.

Therefore, GCD of numbers 35, 725, 432, 468 is 1

Given Input Data is 35, 725, 432, 468

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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, 725) = 5075

GCD(35, 725) = ( 35 x 725 ) / 5075

GCD(35, 725) = 25375 / 5075

GCD(35, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 432

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

LCM(5, 432) = 2160

GCD(5, 432) = ( 5 x 432 ) / 2160

GCD(5, 432) = 2160 / 2160

GCD(5, 432) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 35, 725, 432, 468 is 1

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• GCD of 13, 131, 575, 374
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• GCD of 63, 194, 387, 995

1. What is the GCD of 35, 725, 432, 468?

GCD of 35, 725, 432, 468 is 1

2. Where do I get the detailed procedure to find GCD of 35, 725, 432, 468?

You can find a detailed procedure to find GCD of 35, 725, 432, 468 on our page.

3. How to find GCD of 35, 725, 432, 468 on a calculator?

You can find the GCD of 35, 725, 432, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.