GCD of 249, 324, 120, 912 Calculator

Given Input numbers are 249, 324, 120, 912

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (249, 324, 120, 912) = 3.

Given numbers are 249, 324, 120, 912

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 249, 324, 120, 912 is 3.

Given numbers are 249, 324, 120, 912

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

Apply this formula for all numbers.

Step1:

LCM(249, 324) = 26892

GCD(249, 324) = ( 249 x 324 ) / 26892

= 249 / 324

= 249

Step2:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

Step3:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3

So, Greatest Common Divisor of 249, 324, 120, 912 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 518, 954, 664
• GCD of 705, 183, 603, 334
• GCD of 362, 427, 969, 497
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• GCD of 460, 764, 457, 389

Given numbers are 249, 324, 120, 912
The greatest common divisor of numbers 249, 324, 120, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 324, 120, 912 is 3.

1. What is the GCD of 249, 324, 120, 912?

GCD of given numbers 249, 324, 120, 912 is 3

2. How to calculate the greatest common divisor of 249, 324, 120, 912?

We can find the highest common divisor of 249, 324, 120, 912 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 249, 324, 120, 912 i.e 3.

3. How can I use the GCD of 249, 324, 120, 912Calculator?

Out the numbers 249, 324, 120, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.