GCD of 653, 712, 65, 430 Calculator

Given Input numbers are 653, 712, 65, 430

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

Divisors of 653

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

1, 653

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 653, 712, 65, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 712, 65, 430 is 1.

Therefore, GCD of numbers 653, 712, 65, 430 is 1

Given Input Data is 653, 712, 65, 430

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

Prime Factorization of 653 is 653

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 65 is 5 x 13

Prime Factorization of 430 is 2 x 5 x 43

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(653, 712) = 464936

GCD(653, 712) = ( 653 x 712 ) / 464936

GCD(653, 712) = 464936 / 464936

GCD(653, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 430

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

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

GCD(1, 430) = 430 / 430

GCD(1, 430) = 1

GCD of 653, 712, 65, 430 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 289, 71, 840
• GCD of 428, 202, 52, 222
• GCD of 450, 409, 33, 810
• GCD of 766, 692, 45, 259
• GCD of 251, 754, 94, 626

1. What is the GCD of 653, 712, 65, 430?

GCD of 653, 712, 65, 430 is 1

2. Where do I get the detailed procedure to find GCD of 653, 712, 65, 430?

You can find a detailed procedure to find GCD of 653, 712, 65, 430 on our page.

3. How to find GCD of 653, 712, 65, 430 on a calculator?

You can find the GCD of 653, 712, 65, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.