GCD of 990, 148, 396, 402 Calculator

Given Input numbers are 990, 148, 396, 402

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (990, 148, 396, 402) = 2.

Given numbers are 990, 148, 396, 402

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 148 are 2 x 2 x 37

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 990, 148, 396, 402 is 2.

Given numbers are 990, 148, 396, 402

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

Apply this formula for all numbers.

Step1:

LCM(990, 148) = 73260

GCD(990, 148) = ( 990 x 148 ) / 73260

= 990 / 148

= 990

Step2:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

Step3:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

So, Greatest Common Divisor of 990, 148, 396, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 175, 511, 580
• GCD of 190, 447, 267, 381
• GCD of 975, 313, 804, 708
• GCD of 405, 270, 892, 888
• GCD of 382, 145, 159, 506

Given numbers are 990, 148, 396, 402
The greatest common divisor of numbers 990, 148, 396, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 148, 396, 402 is 2.

1. What is the GCD of 990, 148, 396, 402?

GCD of given numbers 990, 148, 396, 402 is 2

2. How to calculate the greatest common divisor of 990, 148, 396, 402?

We can find the highest common divisor of 990, 148, 396, 402 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, 148, 396, 402 i.e 2.

3. How can I use the GCD of 990, 148, 396, 402Calculator?

Out the numbers 990, 148, 396, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.