GCD of 990, 900, 743, 459 Calculator

Given Input numbers are 990, 900, 743, 459

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (990, 900, 743, 459) = 1.

Given numbers are 990, 900, 743, 459

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 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 743 are 743

Prime factors of 459 are 3 x 3 x 3 x 17

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

Given numbers are 990, 900, 743, 459

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

Apply this formula for all numbers.

Step1:

LCM(990, 900) = 9900

GCD(990, 900) = ( 990 x 900 ) / 9900

= 990 / 900

= 990

Step2:

LCM(90, 743) = 66870

GCD(90, 743) = ( 90 x 743 ) / 66870

= 90 / 743

= 90

Step3:

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

= 1 / 459

= 1

So, Greatest Common Divisor of 990, 900, 743, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 523, 343, 376
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• GCD of 438, 243, 167, 828
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• GCD of 385, 248, 479, 395

Given numbers are 990, 900, 743, 459
The greatest common divisor of numbers 990, 900, 743, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 900, 743, 459 is 1.

1. What is the GCD of 990, 900, 743, 459?

GCD of given numbers 990, 900, 743, 459 is 1

2. How to calculate the greatest common divisor of 990, 900, 743, 459?

We can find the highest common divisor of 990, 900, 743, 459 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, 900, 743, 459 i.e 1.

3. How can I use the GCD of 990, 900, 743, 459Calculator?

Out the numbers 990, 900, 743, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.