GCD of 384, 788, 560, 774 Calculator

Given Input numbers are 384, 788, 560, 774

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 788 :

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

1, 2, 4, 197, 394, 788

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (384, 788, 560, 774) = 2.

Given numbers are 384, 788, 560, 774

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 788 are 2 x 2 x 197

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

Prime factors of 774 are 2 x 3 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 384, 788, 560, 774 is 2.

Given numbers are 384, 788, 560, 774

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

Apply this formula for all numbers.

Step1:

LCM(384, 788) = 75648

GCD(384, 788) = ( 384 x 788 ) / 75648

= 384 / 788

= 384

Step2:

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

= 4 / 560

= 4

Step3:

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

= 4 / 774

= 4

So, Greatest Common Divisor of 384, 788, 560, 774 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 778, 621, 480
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• GCD of 721, 327, 580, 470

Given numbers are 384, 788, 560, 774
The greatest common divisor of numbers 384, 788, 560, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 788, 560, 774 is 2.

1. What is the GCD of 384, 788, 560, 774?

GCD of given numbers 384, 788, 560, 774 is 2

2. How to calculate the greatest common divisor of 384, 788, 560, 774?

We can find the highest common divisor of 384, 788, 560, 774 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 384, 788, 560, 774 i.e 2.

3. How can I use the GCD of 384, 788, 560, 774Calculator?

Out the numbers 384, 788, 560, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.