GCD of 320, 732, 492, 146 Calculator

Given Input numbers are 320, 732, 492, 146

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (320, 732, 492, 146) = 2.

Given numbers are 320, 732, 492, 146

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 732 are 2 x 2 x 3 x 61

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

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 320, 732, 492, 146 is 2.

Given numbers are 320, 732, 492, 146

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

Apply this formula for all numbers.

Step1:

LCM(320, 732) = 58560

GCD(320, 732) = ( 320 x 732 ) / 58560

= 320 / 732

= 320

Step2:

LCM(4, 492) = 492

GCD(4, 492) = ( 4 x 492 ) / 492

= 4 / 492

= 4

Step3:

LCM(4, 146) = 292

GCD(4, 146) = ( 4 x 146 ) / 292

= 4 / 146

= 4

So, Greatest Common Divisor of 320, 732, 492, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 967, 261, 230
• GCD of 332, 600, 141, 229
• GCD of 958, 777, 647, 566
• GCD of 116, 522, 536, 617
• GCD of 589, 517, 711, 426

Given numbers are 320, 732, 492, 146
The greatest common divisor of numbers 320, 732, 492, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 732, 492, 146 is 2.

1. What is the GCD of 320, 732, 492, 146?

GCD of given numbers 320, 732, 492, 146 is 2

2. How to calculate the greatest common divisor of 320, 732, 492, 146?

We can find the highest common divisor of 320, 732, 492, 146 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 320, 732, 492, 146 i.e 2.

3. How can I use the GCD of 320, 732, 492, 146Calculator?

Out the numbers 320, 732, 492, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.