GCD of 521, 500, 149, 990 Calculator

Given Input numbers are 521, 500, 149, 990

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

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

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

GCD of numbers is the greatest common divisor

So, the GCD (521, 500, 149, 990) = 1.

Given numbers are 521, 500, 149, 990

The list of prime factors of all numbers are

Prime factors of 521 are 521

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 149 are 149

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 521, 500, 149, 990

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

Apply this formula for all numbers.

Step1:

LCM(521, 500) = 260500

GCD(521, 500) = ( 521 x 500 ) / 260500

= 521 / 500

= 521

Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 521, 500, 149, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 964, 774, 523
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Given numbers are 521, 500, 149, 990
The greatest common divisor of numbers 521, 500, 149, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 521, 500, 149, 990 is 1.

1. What is the GCD of 521, 500, 149, 990?

GCD of given numbers 521, 500, 149, 990 is 1

2. How to calculate the greatest common divisor of 521, 500, 149, 990?

We can find the highest common divisor of 521, 500, 149, 990 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 521, 500, 149, 990 i.e 1.

3. How can I use the GCD of 521, 500, 149, 990Calculator?

Out the numbers 521, 500, 149, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.