GCD of 774, 588, 792, 960 Calculator

Given Input numbers are 774, 588, 792, 960

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

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (774, 588, 792, 960) = 6.

Given numbers are 774, 588, 792, 960

The list of prime factors of all numbers are

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

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 774, 588, 792, 960 is 6.

Given numbers are 774, 588, 792, 960

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

Apply this formula for all numbers.

Step1:

LCM(774, 588) = 75852

GCD(774, 588) = ( 774 x 588 ) / 75852

= 774 / 588

= 774

Step2:

LCM(6, 792) = 792

GCD(6, 792) = ( 6 x 792 ) / 792

= 6 / 792

= 6

Step3:

LCM(6, 960) = 960

GCD(6, 960) = ( 6 x 960 ) / 960

= 6 / 960

= 6

So, Greatest Common Divisor of 774, 588, 792, 960 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 336, 455, 355
• GCD of 955, 348, 715, 620
• GCD of 746, 512, 761, 947
• GCD of 410, 735, 146, 617
• GCD of 671, 466, 273, 662

Given numbers are 774, 588, 792, 960
The greatest common divisor of numbers 774, 588, 792, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 588, 792, 960 is 6.

1. What is the GCD of 774, 588, 792, 960?

GCD of given numbers 774, 588, 792, 960 is 6

2. How to calculate the greatest common divisor of 774, 588, 792, 960?

We can find the highest common divisor of 774, 588, 792, 960 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 774, 588, 792, 960 i.e 6.

3. How can I use the GCD of 774, 588, 792, 960Calculator?

Out the numbers 774, 588, 792, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.