GCD of 728, 969, 785, 224 Calculator

Given Input numbers are 728, 969, 785, 224

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (728, 969, 785, 224) = 1.

Given numbers are 728, 969, 785, 224

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 969 are 3 x 17 x 19

Prime factors of 785 are 5 x 157

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 728, 969, 785, 224

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

Apply this formula for all numbers.

Step1:

LCM(728, 969) = 705432

GCD(728, 969) = ( 728 x 969 ) / 705432

= 728 / 969

= 728

Step2:

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

= 1 / 785

= 1

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 728, 969, 785, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 790, 840, 762
• GCD of 923, 222, 739, 867
• GCD of 257, 920, 412, 464
• GCD of 730, 522, 487, 417
• GCD of 283, 794, 336, 886

Given numbers are 728, 969, 785, 224
The greatest common divisor of numbers 728, 969, 785, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 969, 785, 224 is 1.

1. What is the GCD of 728, 969, 785, 224?

GCD of given numbers 728, 969, 785, 224 is 1

2. How to calculate the greatest common divisor of 728, 969, 785, 224?

We can find the highest common divisor of 728, 969, 785, 224 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, 969, 785, 224 i.e 1.

3. How can I use the GCD of 728, 969, 785, 224Calculator?

Out the numbers 728, 969, 785, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.