GCD of 990, 224, 140 Calculator

Given Input numbers are 990, 224, 140

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (990, 224, 140) = 2.

Given numbers are 990, 224, 140

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 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 990, 224, 140 is 2.

Given numbers are 990, 224, 140

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

Apply this formula for all numbers.

Step1:

LCM(990, 224) = 110880

GCD(990, 224) = ( 990 x 224 ) / 110880

= 990 / 224

= 990

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 990, 224, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 424, 391
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Given numbers are 990, 224, 140
The greatest common divisor of numbers 990, 224, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 224, 140 is 2.

1. What is the GCD of 990, 224, 140?

GCD of given numbers 990, 224, 140 is 2

2. How to calculate the greatest common divisor of 990, 224, 140?

We can find the highest common divisor of 990, 224, 140 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, 224, 140 i.e 2.

3. How can I use the GCD of 990, 224, 140Calculator?

Out the numbers 990, 224, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.