GCD of 990, 978, 730, 936 Calculator

Given Input numbers are 990, 978, 730, 936

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 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

GCD of numbers is the greatest common divisor

So, the GCD (990, 978, 730, 936) = 2.

Given numbers are 990, 978, 730, 936

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 978 are 2 x 3 x 163

Prime factors of 730 are 2 x 5 x 73

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 990, 978, 730, 936 is 2.

Given numbers are 990, 978, 730, 936

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

Apply this formula for all numbers.

Step1:

LCM(990, 978) = 161370

GCD(990, 978) = ( 990 x 978 ) / 161370

= 990 / 978

= 990

Step2:

LCM(6, 730) = 2190

GCD(6, 730) = ( 6 x 730 ) / 2190

= 6 / 730

= 6

Step3:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2

So, Greatest Common Divisor of 990, 978, 730, 936 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 201, 177, 772
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Given numbers are 990, 978, 730, 936
The greatest common divisor of numbers 990, 978, 730, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 978, 730, 936 is 2.

1. What is the GCD of 990, 978, 730, 936?

GCD of given numbers 990, 978, 730, 936 is 2

2. How to calculate the greatest common divisor of 990, 978, 730, 936?

We can find the highest common divisor of 990, 978, 730, 936 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, 978, 730, 936 i.e 2.

3. How can I use the GCD of 990, 978, 730, 936Calculator?

Out the numbers 990, 978, 730, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.