GCD of 576, 728, 504, 698 Calculator

Given Input numbers are 576, 728, 504, 698

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (576, 728, 504, 698) = 2.

Given numbers are 576, 728, 504, 698

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 576, 728, 504, 698 is 2.

Given numbers are 576, 728, 504, 698

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

Apply this formula for all numbers.

Step1:

LCM(576, 728) = 52416

GCD(576, 728) = ( 576 x 728 ) / 52416

= 576 / 728

= 576

Step2:

LCM(8, 504) = 504

GCD(8, 504) = ( 8 x 504 ) / 504

= 8 / 504

= 8

Step3:

LCM(8, 698) = 2792

GCD(8, 698) = ( 8 x 698 ) / 2792

= 8 / 698

= 8

So, Greatest Common Divisor of 576, 728, 504, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 710, 986, 986
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Given numbers are 576, 728, 504, 698
The greatest common divisor of numbers 576, 728, 504, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 728, 504, 698 is 2.

1. What is the GCD of 576, 728, 504, 698?

GCD of given numbers 576, 728, 504, 698 is 2

2. How to calculate the greatest common divisor of 576, 728, 504, 698?

We can find the highest common divisor of 576, 728, 504, 698 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 576, 728, 504, 698 i.e 2.

3. How can I use the GCD of 576, 728, 504, 698Calculator?

Out the numbers 576, 728, 504, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.