GCD of 990, 747, 378 Calculator

Given Input numbers are 990, 747, 378

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (990, 747, 378) = 9.

Given numbers are 990, 747, 378

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 747 are 3 x 3 x 83

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3²

Therefore, GCD of 990, 747, 378 is 9.

Given numbers are 990, 747, 378

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

Apply this formula for all numbers.

Step1:

LCM(990, 747) = 82170

GCD(990, 747) = ( 990 x 747 ) / 82170

= 990 / 747

= 990

Step2:

LCM(9, 378) = 378

GCD(9, 378) = ( 9 x 378 ) / 378

= 9 / 378

= 9

So, Greatest Common Divisor of 990, 747, 378 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 991, 872
• GCD of 577, 319, 255
• GCD of 446, 536, 996
• GCD of 819, 174, 968
• GCD of 881, 563, 555

Given numbers are 990, 747, 378
The greatest common divisor of numbers 990, 747, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 747, 378 is 9.

1. What is the GCD of 990, 747, 378?

GCD of given numbers 990, 747, 378 is 9

2. How to calculate the greatest common divisor of 990, 747, 378?

We can find the highest common divisor of 990, 747, 378 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, 747, 378 i.e 9.

3. How can I use the GCD of 990, 747, 378Calculator?

Out the numbers 990, 747, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.