GCD of 990, 376, 598, 480 Calculator

Given Input numbers are 990, 376, 598, 480

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 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

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

GCD of numbers is the greatest common divisor

So, the GCD (990, 376, 598, 480) = 2.

Given numbers are 990, 376, 598, 480

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 376 are 2 x 2 x 2 x 47

Prime factors of 598 are 2 x 13 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 990, 376, 598, 480 is 2.

Given numbers are 990, 376, 598, 480

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

Apply this formula for all numbers.

Step1:

LCM(990, 376) = 186120

GCD(990, 376) = ( 990 x 376 ) / 186120

= 990 / 376

= 990

Step2:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 990, 376, 598, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 290, 426, 358
• GCD of 641, 158, 587, 130
• GCD of 253, 875, 251, 512
• GCD of 383, 262, 689, 331
• GCD of 802, 683, 484, 466

Given numbers are 990, 376, 598, 480
The greatest common divisor of numbers 990, 376, 598, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 376, 598, 480 is 2.

1. What is the GCD of 990, 376, 598, 480?

GCD of given numbers 990, 376, 598, 480 is 2

2. How to calculate the greatest common divisor of 990, 376, 598, 480?

We can find the highest common divisor of 990, 376, 598, 480 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, 376, 598, 480 i.e 2.

3. How can I use the GCD of 990, 376, 598, 480Calculator?

Out the numbers 990, 376, 598, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.