GCD of 272, 366, 120, 504 Calculator

Given Input numbers are 272, 366, 120, 504

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

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (272, 366, 120, 504) = 2.

Given numbers are 272, 366, 120, 504

The list of prime factors of all numbers are

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

Prime factors of 366 are 2 x 3 x 61

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 272, 366, 120, 504 is 2.

Given numbers are 272, 366, 120, 504

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

Apply this formula for all numbers.

Step1:

LCM(272, 366) = 49776

GCD(272, 366) = ( 272 x 366 ) / 49776

= 272 / 366

= 272

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

So, Greatest Common Divisor of 272, 366, 120, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 440, 103, 665
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Given numbers are 272, 366, 120, 504
The greatest common divisor of numbers 272, 366, 120, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 366, 120, 504 is 2.

1. What is the GCD of 272, 366, 120, 504?

GCD of given numbers 272, 366, 120, 504 is 2

2. How to calculate the greatest common divisor of 272, 366, 120, 504?

We can find the highest common divisor of 272, 366, 120, 504 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 272, 366, 120, 504 i.e 2.

3. How can I use the GCD of 272, 366, 120, 504Calculator?

Out the numbers 272, 366, 120, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.