GCD of 990, 392, 238, 696 Calculator

Given Input numbers are 990, 392, 238, 696

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (990, 392, 238, 696) = 2.

Given numbers are 990, 392, 238, 696

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 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 238 are 2 x 7 x 17

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 990, 392, 238, 696 is 2.

Given numbers are 990, 392, 238, 696

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

Apply this formula for all numbers.

Step1:

LCM(990, 392) = 194040

GCD(990, 392) = ( 990 x 392 ) / 194040

= 990 / 392

= 990

Step2:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

Step3:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

So, Greatest Common Divisor of 990, 392, 238, 696 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 927, 985, 138
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Given numbers are 990, 392, 238, 696
The greatest common divisor of numbers 990, 392, 238, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 392, 238, 696 is 2.

1. What is the GCD of 990, 392, 238, 696?

GCD of given numbers 990, 392, 238, 696 is 2

2. How to calculate the greatest common divisor of 990, 392, 238, 696?

We can find the highest common divisor of 990, 392, 238, 696 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, 392, 238, 696 i.e 2.

3. How can I use the GCD of 990, 392, 238, 696Calculator?

Out the numbers 990, 392, 238, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.