GCD of 468, 698, 433, 152 Calculator

Given Input numbers are 468, 698, 433, 152

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

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 468, 698, 433, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 698, 433, 152 is 1.

Therefore, GCD of numbers 468, 698, 433, 152 is 1

Given Input Data is 468, 698, 433, 152

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

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 433 is 433

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(468, 698) = 163332

GCD(468, 698) = ( 468 x 698 ) / 163332

GCD(468, 698) = 326664 / 163332

GCD(468, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 433

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

LCM(2, 433) = 866

GCD(2, 433) = ( 2 x 433 ) / 866

GCD(2, 433) = 866 / 866

GCD(2, 433) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 468, 698, 433, 152 is 1

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1. What is the GCD of 468, 698, 433, 152?

GCD of 468, 698, 433, 152 is 1

2. Where do I get the detailed procedure to find GCD of 468, 698, 433, 152?

You can find a detailed procedure to find GCD of 468, 698, 433, 152 on our page.

3. How to find GCD of 468, 698, 433, 152 on a calculator?

You can find the GCD of 468, 698, 433, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.