GCD of 990, 364, 727, 253 Calculator

Given Input numbers are 990, 364, 727, 253

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (990, 364, 727, 253) = 1.

Given numbers are 990, 364, 727, 253

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 364 are 2 x 2 x 7 x 13

Prime factors of 727 are 727

Prime factors of 253 are 11 x 23

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

Given numbers are 990, 364, 727, 253

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

Apply this formula for all numbers.

Step1:

LCM(990, 364) = 180180

GCD(990, 364) = ( 990 x 364 ) / 180180

= 990 / 364

= 990

Step2:

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

= 2 / 727

= 2

Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

So, Greatest Common Divisor of 990, 364, 727, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 683, 124, 200
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• GCD of 253, 107, 977, 897
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Given numbers are 990, 364, 727, 253
The greatest common divisor of numbers 990, 364, 727, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 364, 727, 253 is 1.

1. What is the GCD of 990, 364, 727, 253?

GCD of given numbers 990, 364, 727, 253 is 1

2. How to calculate the greatest common divisor of 990, 364, 727, 253?

We can find the highest common divisor of 990, 364, 727, 253 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, 364, 727, 253 i.e 1.

3. How can I use the GCD of 990, 364, 727, 253Calculator?

Out the numbers 990, 364, 727, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.