GCD of 852, 184, 272, 484 Calculator

Given Input numbers are 852, 184, 272, 484

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 484 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (852, 184, 272, 484) = 4.

Given numbers are 852, 184, 272, 484

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

The highest common occurrence is 2²

Therefore, GCD of 852, 184, 272, 484 is 4.

Given numbers are 852, 184, 272, 484

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

Apply this formula for all numbers.

Step1:

LCM(852, 184) = 39192

GCD(852, 184) = ( 852 x 184 ) / 39192

= 852 / 184

= 852

Step2:

LCM(4, 272) = 272

GCD(4, 272) = ( 4 x 272 ) / 272

= 4 / 272

= 4

Step3:

LCM(4, 484) = 484

GCD(4, 484) = ( 4 x 484 ) / 484

= 4 / 484

= 4

So, Greatest Common Divisor of 852, 184, 272, 484 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 997, 294, 161
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Given numbers are 852, 184, 272, 484
The greatest common divisor of numbers 852, 184, 272, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 184, 272, 484 is 4.

1. What is the GCD of 852, 184, 272, 484?

GCD of given numbers 852, 184, 272, 484 is 4

2. How to calculate the greatest common divisor of 852, 184, 272, 484?

We can find the highest common divisor of 852, 184, 272, 484 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 852, 184, 272, 484 i.e 4.

3. How can I use the GCD of 852, 184, 272, 484Calculator?

Out the numbers 852, 184, 272, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.