GCD of 144, 636, 992, 890 Calculator

Given Input numbers are 144, 636, 992, 890

In the factoring method, we have to find the divisors of all numbers

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (144, 636, 992, 890) = 2.

Given numbers are 144, 636, 992, 890

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 2¹

Therefore, GCD of 144, 636, 992, 890 is 2.

Given numbers are 144, 636, 992, 890

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

Apply this formula for all numbers.

Step1:

LCM(144, 636) = 7632

GCD(144, 636) = ( 144 x 636 ) / 7632

= 144 / 636

= 144

Step2:

LCM(12, 992) = 2976

GCD(12, 992) = ( 12 x 992 ) / 2976

= 12 / 992

= 12

Step3:

LCM(4, 890) = 1780

GCD(4, 890) = ( 4 x 890 ) / 1780

= 4 / 890

= 4

So, Greatest Common Divisor of 144, 636, 992, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 876, 712, 248
• GCD of 286, 879, 421, 214
• GCD of 239, 354, 665, 546
• GCD of 996, 696, 162, 637
• GCD of 613, 336, 702, 480

Given numbers are 144, 636, 992, 890
The greatest common divisor of numbers 144, 636, 992, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 636, 992, 890 is 2.

1. What is the GCD of 144, 636, 992, 890?

GCD of given numbers 144, 636, 992, 890 is 2

2. How to calculate the greatest common divisor of 144, 636, 992, 890?

We can find the highest common divisor of 144, 636, 992, 890 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 144, 636, 992, 890 i.e 2.

3. How can I use the GCD of 144, 636, 992, 890Calculator?

Out the numbers 144, 636, 992, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.