GCD of 804, 978, 792, 518 Calculator

Given Input numbers are 804, 978, 792, 518

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (804, 978, 792, 518) = 2.

Given numbers are 804, 978, 792, 518

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 804, 978, 792, 518 is 2.

Given numbers are 804, 978, 792, 518

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

Apply this formula for all numbers.

Step1:

LCM(804, 978) = 131052

GCD(804, 978) = ( 804 x 978 ) / 131052

= 804 / 978

= 804

Step2:

LCM(6, 792) = 792

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

= 6 / 792

= 6

Step3:

LCM(6, 518) = 1554

GCD(6, 518) = ( 6 x 518 ) / 1554

= 6 / 518

= 6

So, Greatest Common Divisor of 804, 978, 792, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 545, 973, 180
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• GCD of 144, 667, 375, 997

Given numbers are 804, 978, 792, 518
The greatest common divisor of numbers 804, 978, 792, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 978, 792, 518 is 2.

1. What is the GCD of 804, 978, 792, 518?

GCD of given numbers 804, 978, 792, 518 is 2

2. How to calculate the greatest common divisor of 804, 978, 792, 518?

We can find the highest common divisor of 804, 978, 792, 518 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 804, 978, 792, 518 i.e 2.

3. How can I use the GCD of 804, 978, 792, 518Calculator?

Out the numbers 804, 978, 792, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.