GCD of 492, 672, 924, 960 Calculator

Given Input numbers are 492, 672, 924, 960

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (492, 672, 924, 960) = 12.

Given numbers are 492, 672, 924, 960

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2² x 3¹

Therefore, GCD of 492, 672, 924, 960 is 12.

Given numbers are 492, 672, 924, 960

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

Apply this formula for all numbers.

Step1:

LCM(492, 672) = 27552

GCD(492, 672) = ( 492 x 672 ) / 27552

= 492 / 672

= 492

Step2:

LCM(12, 924) = 924

GCD(12, 924) = ( 12 x 924 ) / 924

= 12 / 924

= 12

Step3:

LCM(12, 960) = 960

GCD(12, 960) = ( 12 x 960 ) / 960

= 12 / 960

= 12

So, Greatest Common Divisor of 492, 672, 924, 960 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 290, 332, 239
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Given numbers are 492, 672, 924, 960
The greatest common divisor of numbers 492, 672, 924, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 672, 924, 960 is 12.

1. What is the GCD of 492, 672, 924, 960?

GCD of given numbers 492, 672, 924, 960 is 12

2. How to calculate the greatest common divisor of 492, 672, 924, 960?

We can find the highest common divisor of 492, 672, 924, 960 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 492, 672, 924, 960 i.e 12.

3. How can I use the GCD of 492, 672, 924, 960Calculator?

Out the numbers 492, 672, 924, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.