GCD of 788, 494, 560, 728 Calculator

Given Input numbers are 788, 494, 560, 728

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

GCD of numbers is the greatest common divisor

So, the GCD (788, 494, 560, 728) = 2.

Given numbers are 788, 494, 560, 728

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 494 are 2 x 13 x 19

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 788, 494, 560, 728 is 2.

Given numbers are 788, 494, 560, 728

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

Apply this formula for all numbers.

Step1:

LCM(788, 494) = 194636

GCD(788, 494) = ( 788 x 494 ) / 194636

= 788 / 494

= 788

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 788, 494, 560, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 491, 634, 327
• GCD of 194, 768, 921, 253
• GCD of 532, 131, 365, 521
• GCD of 319, 724, 792, 377
• GCD of 608, 547, 967, 779

Given numbers are 788, 494, 560, 728
The greatest common divisor of numbers 788, 494, 560, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 494, 560, 728 is 2.

1. What is the GCD of 788, 494, 560, 728?

GCD of given numbers 788, 494, 560, 728 is 2

2. How to calculate the greatest common divisor of 788, 494, 560, 728?

We can find the highest common divisor of 788, 494, 560, 728 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 788, 494, 560, 728 i.e 2.

3. How can I use the GCD of 788, 494, 560, 728Calculator?

Out the numbers 788, 494, 560, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.