GCD of 844, 354, 174, 990 Calculator

Given Input numbers are 844, 354, 174, 990

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

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

GCD of numbers is the greatest common divisor

So, the GCD (844, 354, 174, 990) = 2.

Given numbers are 844, 354, 174, 990

The list of prime factors of all numbers are

Prime factors of 844 are 2 x 2 x 211

Prime factors of 354 are 2 x 3 x 59

Prime factors of 174 are 2 x 3 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 844, 354, 174, 990 is 2.

Given numbers are 844, 354, 174, 990

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

Apply this formula for all numbers.

Step1:

LCM(844, 354) = 149388

GCD(844, 354) = ( 844 x 354 ) / 149388

= 844 / 354

= 844

Step2:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 844, 354, 174, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 962, 312, 686
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Given numbers are 844, 354, 174, 990
The greatest common divisor of numbers 844, 354, 174, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 354, 174, 990 is 2.

1. What is the GCD of 844, 354, 174, 990?

GCD of given numbers 844, 354, 174, 990 is 2

2. How to calculate the greatest common divisor of 844, 354, 174, 990?

We can find the highest common divisor of 844, 354, 174, 990 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 844, 354, 174, 990 i.e 2.

3. How can I use the GCD of 844, 354, 174, 990Calculator?

Out the numbers 844, 354, 174, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.