GCD of 786, 480, 660, 813 Calculator

Given Input numbers are 786, 480, 660, 813

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

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (786, 480, 660, 813) = 3.

Given numbers are 786, 480, 660, 813

The list of prime factors of all numbers are

Prime factors of 786 are 2 x 3 x 131

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 813 are 3 x 271

The highest common occurrence is 3¹

Therefore, GCD of 786, 480, 660, 813 is 3.

Given numbers are 786, 480, 660, 813

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

Apply this formula for all numbers.

Step1:

LCM(786, 480) = 62880

GCD(786, 480) = ( 786 x 480 ) / 62880

= 786 / 480

= 786

Step2:

LCM(6, 660) = 660

GCD(6, 660) = ( 6 x 660 ) / 660

= 6 / 660

= 6

Step3:

LCM(6, 813) = 1626

GCD(6, 813) = ( 6 x 813 ) / 1626

= 6 / 813

= 6

So, Greatest Common Divisor of 786, 480, 660, 813 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 192, 961, 120
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Given numbers are 786, 480, 660, 813
The greatest common divisor of numbers 786, 480, 660, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 786, 480, 660, 813 is 3.

1. What is the GCD of 786, 480, 660, 813?

GCD of given numbers 786, 480, 660, 813 is 3

2. How to calculate the greatest common divisor of 786, 480, 660, 813?

We can find the highest common divisor of 786, 480, 660, 813 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 786, 480, 660, 813 i.e 3.

3. How can I use the GCD of 786, 480, 660, 813Calculator?

Out the numbers 786, 480, 660, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.