GCD of 644, 829, 728, 680 Calculator

Given Input numbers are 644, 829, 728, 680

In the factoring method, we have to find the divisors of all numbers

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (644, 829, 728, 680) = 1.

Given numbers are 644, 829, 728, 680

The list of prime factors of all numbers are

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 829 are 829

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 644, 829, 728, 680

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(644, 829) = 533876

GCD(644, 829) = ( 644 x 829 ) / 533876

= 644 / 829

= 644

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

So, Greatest Common Divisor of 644, 829, 728, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 295, 309, 211
• GCD of 622, 616, 415, 178
• GCD of 508, 689, 488, 256
• GCD of 316, 305, 932, 905
• GCD of 610, 578, 939, 377

Given numbers are 644, 829, 728, 680
The greatest common divisor of numbers 644, 829, 728, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 829, 728, 680 is 1.

1. What is the GCD of 644, 829, 728, 680?

GCD of given numbers 644, 829, 728, 680 is 1

2. How to calculate the greatest common divisor of 644, 829, 728, 680?

We can find the highest common divisor of 644, 829, 728, 680 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 644, 829, 728, 680 i.e 1.

3. How can I use the GCD of 644, 829, 728, 680Calculator?

Out the numbers 644, 829, 728, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.