GCD of 614, 464, 484, 396 Calculator

Given Input numbers are 614, 464, 484, 396

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (614, 464, 484, 396) = 2.

Given numbers are 614, 464, 484, 396

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 614, 464, 484, 396 is 2.

Given numbers are 614, 464, 484, 396

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

Apply this formula for all numbers.

Step1:

LCM(614, 464) = 142448

GCD(614, 464) = ( 614 x 464 ) / 142448

= 614 / 464

= 614

Step2:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 614, 464, 484, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 474, 554, 828
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Given numbers are 614, 464, 484, 396
The greatest common divisor of numbers 614, 464, 484, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 464, 484, 396 is 2.

1. What is the GCD of 614, 464, 484, 396?

GCD of given numbers 614, 464, 484, 396 is 2

2. How to calculate the greatest common divisor of 614, 464, 484, 396?

We can find the highest common divisor of 614, 464, 484, 396 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 614, 464, 484, 396 i.e 2.

3. How can I use the GCD of 614, 464, 484, 396Calculator?

Out the numbers 614, 464, 484, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.