GCD of 990, 896, 828, 351 Calculator

Given Input numbers are 990, 896, 828, 351

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (990, 896, 828, 351) = 1.

Given numbers are 990, 896, 828, 351

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 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 351 are 3 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 990, 896, 828, 351

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

Apply this formula for all numbers.

Step1:

LCM(990, 896) = 443520

GCD(990, 896) = ( 990 x 896 ) / 443520

= 990 / 896

= 990

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

= 2 / 351

= 2

So, Greatest Common Divisor of 990, 896, 828, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 523, 783, 794
• GCD of 254, 764, 333, 910
• GCD of 359, 280, 244, 495
• GCD of 461, 629, 963, 127
• GCD of 213, 267, 411, 154

Given numbers are 990, 896, 828, 351
The greatest common divisor of numbers 990, 896, 828, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 896, 828, 351 is 1.

1. What is the GCD of 990, 896, 828, 351?

GCD of given numbers 990, 896, 828, 351 is 1

2. How to calculate the greatest common divisor of 990, 896, 828, 351?

We can find the highest common divisor of 990, 896, 828, 351 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, 896, 828, 351 i.e 1.

3. How can I use the GCD of 990, 896, 828, 351Calculator?

Out the numbers 990, 896, 828, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.