GCD of 990, 104, 218, 760 Calculator

Given Input numbers are 990, 104, 218, 760

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 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (990, 104, 218, 760) = 2.

Given numbers are 990, 104, 218, 760

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 104 are 2 x 2 x 2 x 13

Prime factors of 218 are 2 x 109

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 990, 104, 218, 760 is 2.

Given numbers are 990, 104, 218, 760

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

Apply this formula for all numbers.

Step1:

LCM(990, 104) = 51480

GCD(990, 104) = ( 990 x 104 ) / 51480

= 990 / 104

= 990

Step2:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

So, Greatest Common Divisor of 990, 104, 218, 760 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 187, 321, 864
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Given numbers are 990, 104, 218, 760
The greatest common divisor of numbers 990, 104, 218, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 104, 218, 760 is 2.

1. What is the GCD of 990, 104, 218, 760?

GCD of given numbers 990, 104, 218, 760 is 2

2. How to calculate the greatest common divisor of 990, 104, 218, 760?

We can find the highest common divisor of 990, 104, 218, 760 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, 104, 218, 760 i.e 2.

3. How can I use the GCD of 990, 104, 218, 760Calculator?

Out the numbers 990, 104, 218, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.