GCD of 728, 355, 749, 669 Calculator

Given Input numbers are 728, 355, 749, 669

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

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 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (728, 355, 749, 669) = 1.

Given numbers are 728, 355, 749, 669

The list of prime factors of all numbers are

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

Prime factors of 355 are 5 x 71

Prime factors of 749 are 7 x 107

Prime factors of 669 are 3 x 223

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

Given numbers are 728, 355, 749, 669

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

Apply this formula for all numbers.

Step1:

LCM(728, 355) = 258440

GCD(728, 355) = ( 728 x 355 ) / 258440

= 728 / 355

= 728

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

= 1 / 669

= 1

So, Greatest Common Divisor of 728, 355, 749, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 284, 916, 985
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• GCD of 196, 578, 366, 817

Given numbers are 728, 355, 749, 669
The greatest common divisor of numbers 728, 355, 749, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 355, 749, 669 is 1.

1. What is the GCD of 728, 355, 749, 669?

GCD of given numbers 728, 355, 749, 669 is 1

2. How to calculate the greatest common divisor of 728, 355, 749, 669?

We can find the highest common divisor of 728, 355, 749, 669 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 728, 355, 749, 669 i.e 1.

3. How can I use the GCD of 728, 355, 749, 669Calculator?

Out the numbers 728, 355, 749, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.