GCD of 433, 420, 413, 653 Calculator

Given Input numbers are 433, 420, 413, 653

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

Divisors of 433

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

1, 433

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 433, 420, 413, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 420, 413, 653 is 1.

Therefore, GCD of numbers 433, 420, 413, 653 is 1

Given Input Data is 433, 420, 413, 653

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

Prime Factorization of 433 is 433

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 413 is 7 x 59

Prime Factorization of 653 is 653

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(433, 420) = 181860

GCD(433, 420) = ( 433 x 420 ) / 181860

GCD(433, 420) = 181860 / 181860

GCD(433, 420) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 433, 420, 413, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 834, 532, 391
• GCD of 787, 435, 108, 590
• GCD of 245, 734, 762, 230
• GCD of 871, 677, 293, 246
• GCD of 494, 861, 687, 871

1. What is the GCD of 433, 420, 413, 653?

GCD of 433, 420, 413, 653 is 1

2. Where do I get the detailed procedure to find GCD of 433, 420, 413, 653?

You can find a detailed procedure to find GCD of 433, 420, 413, 653 on our page.

3. How to find GCD of 433, 420, 413, 653 on a calculator?

You can find the GCD of 433, 420, 413, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.