GCD of 990, 480, 165, 718 Calculator

Given Input numbers are 990, 480, 165, 718

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 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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

GCD of numbers is the greatest common divisor

So, the GCD (990, 480, 165, 718) = 1.

Given numbers are 990, 480, 165, 718

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 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 165 are 3 x 5 x 11

Prime factors of 718 are 2 x 359

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 990, 480, 165, 718

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

Apply this formula for all numbers.

Step1:

LCM(990, 480) = 15840

GCD(990, 480) = ( 990 x 480 ) / 15840

= 990 / 480

= 990

Step2:

LCM(30, 165) = 330

GCD(30, 165) = ( 30 x 165 ) / 330

= 30 / 165

= 30

Step3:

LCM(15, 718) = 10770

GCD(15, 718) = ( 15 x 718 ) / 10770

= 15 / 718

= 15

So, Greatest Common Divisor of 990, 480, 165, 718 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 717, 903, 658
• GCD of 144, 671, 470, 147
• GCD of 184, 235, 982, 280
• GCD of 950, 103, 190, 491
• GCD of 687, 611, 988, 577

Given numbers are 990, 480, 165, 718
The greatest common divisor of numbers 990, 480, 165, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 480, 165, 718 is 1.

1. What is the GCD of 990, 480, 165, 718?

GCD of given numbers 990, 480, 165, 718 is 1

2. How to calculate the greatest common divisor of 990, 480, 165, 718?

We can find the highest common divisor of 990, 480, 165, 718 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, 480, 165, 718 i.e 1.

3. How can I use the GCD of 990, 480, 165, 718Calculator?

Out the numbers 990, 480, 165, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.