GCD of 879, 480, 990, 828 Calculator

Given Input numbers are 879, 480, 990, 828

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

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

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 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (879, 480, 990, 828) = 3.

Given numbers are 879, 480, 990, 828

The list of prime factors of all numbers are

Prime factors of 879 are 3 x 293

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

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 879, 480, 990, 828 is 3.

Given numbers are 879, 480, 990, 828

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

Apply this formula for all numbers.

Step1:

LCM(879, 480) = 140640

GCD(879, 480) = ( 879 x 480 ) / 140640

= 879 / 480

= 879

Step2:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

Step3:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

So, Greatest Common Divisor of 879, 480, 990, 828 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 625, 848, 416
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• GCD of 156, 469, 172, 270
• GCD of 818, 206, 455, 404
• GCD of 930, 609, 294, 859

Given numbers are 879, 480, 990, 828
The greatest common divisor of numbers 879, 480, 990, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 480, 990, 828 is 3.

1. What is the GCD of 879, 480, 990, 828?

GCD of given numbers 879, 480, 990, 828 is 3

2. How to calculate the greatest common divisor of 879, 480, 990, 828?

We can find the highest common divisor of 879, 480, 990, 828 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 879, 480, 990, 828 i.e 3.

3. How can I use the GCD of 879, 480, 990, 828Calculator?

Out the numbers 879, 480, 990, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.