GCD of 653, 715, 780, 829 Calculator

Given Input numbers are 653, 715, 780, 829

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 653, 715, 780, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 715, 780, 829 is 1.

Therefore, GCD of numbers 653, 715, 780, 829 is 1

Given Input Data is 653, 715, 780, 829

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

Prime Factorization of 653 is 653

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 829 is 829

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, 715) = 466895

GCD(653, 715) = ( 653 x 715 ) / 466895

GCD(653, 715) = 466895 / 466895

GCD(653, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 653, 715, 780, 829 is 1

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1. What is the GCD of 653, 715, 780, 829?

GCD of 653, 715, 780, 829 is 1

2. Where do I get the detailed procedure to find GCD of 653, 715, 780, 829?

You can find a detailed procedure to find GCD of 653, 715, 780, 829 on our page.

3. How to find GCD of 653, 715, 780, 829 on a calculator?

You can find the GCD of 653, 715, 780, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.