GCD of 990, 382, 953, 518 Calculator

Given Input numbers are 990, 382, 953, 518

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (990, 382, 953, 518) = 1.

Given numbers are 990, 382, 953, 518

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 382 are 2 x 191

Prime factors of 953 are 953

Prime factors of 518 are 2 x 7 x 37

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

Given numbers are 990, 382, 953, 518

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

Apply this formula for all numbers.

Step1:

LCM(990, 382) = 189090

GCD(990, 382) = ( 990 x 382 ) / 189090

= 990 / 382

= 990

Step2:

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

= 2 / 953

= 2

Step3:

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

= 1 / 518

= 1

So, Greatest Common Divisor of 990, 382, 953, 518 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 870, 783, 948
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Given numbers are 990, 382, 953, 518
The greatest common divisor of numbers 990, 382, 953, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 382, 953, 518 is 1.

1. What is the GCD of 990, 382, 953, 518?

GCD of given numbers 990, 382, 953, 518 is 1

2. How to calculate the greatest common divisor of 990, 382, 953, 518?

We can find the highest common divisor of 990, 382, 953, 518 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, 382, 953, 518 i.e 1.

3. How can I use the GCD of 990, 382, 953, 518Calculator?

Out the numbers 990, 382, 953, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.