GCD of 990, 896, 372, 142 Calculator

Given Input numbers are 990, 896, 372, 142

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (990, 896, 372, 142) = 2.

Given numbers are 990, 896, 372, 142

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 372 are 2 x 2 x 3 x 31

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 990, 896, 372, 142 is 2.

Given numbers are 990, 896, 372, 142

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, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 990, 896, 372, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 906, 397, 948
• GCD of 213, 492, 246, 870
• GCD of 783, 792, 610, 778
• GCD of 290, 354, 268, 996
• GCD of 358, 906, 185, 386

Given numbers are 990, 896, 372, 142
The greatest common divisor of numbers 990, 896, 372, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 896, 372, 142 is 2.

1. What is the GCD of 990, 896, 372, 142?

GCD of given numbers 990, 896, 372, 142 is 2

2. How to calculate the greatest common divisor of 990, 896, 372, 142?

We can find the highest common divisor of 990, 896, 372, 142 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, 372, 142 i.e 2.

3. How can I use the GCD of 990, 896, 372, 142Calculator?

Out the numbers 990, 896, 372, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.