GCD of 990, 762, 800, 440 Calculator

Given Input numbers are 990, 762, 800, 440

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

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 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (990, 762, 800, 440) = 2.

Given numbers are 990, 762, 800, 440

The list of prime factors of all numbers are

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

Prime factors of 762 are 2 x 3 x 127

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 990, 762, 800, 440 is 2.

Given numbers are 990, 762, 800, 440

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

Apply this formula for all numbers.

Step1:

LCM(990, 762) = 125730

GCD(990, 762) = ( 990 x 762 ) / 125730

= 990 / 762

= 990

Step2:

LCM(6, 800) = 2400

GCD(6, 800) = ( 6 x 800 ) / 2400

= 6 / 800

= 6

Step3:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

So, Greatest Common Divisor of 990, 762, 800, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 104, 350, 387
• GCD of 717, 843, 720, 887
• GCD of 112, 754, 521, 192
• GCD of 848, 235, 814, 238
• GCD of 384, 933, 472, 146

Given numbers are 990, 762, 800, 440
The greatest common divisor of numbers 990, 762, 800, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 762, 800, 440 is 2.

1. What is the GCD of 990, 762, 800, 440?

GCD of given numbers 990, 762, 800, 440 is 2

2. How to calculate the greatest common divisor of 990, 762, 800, 440?

We can find the highest common divisor of 990, 762, 800, 440 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 990, 762, 800, 440 i.e 2.

3. How can I use the GCD of 990, 762, 800, 440Calculator?

Out the numbers 990, 762, 800, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.