GCD of 390, 748, 92, 288 Calculator

Given Input numbers are 390, 748, 92, 288

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (390, 748, 92, 288) = 2.

Given numbers are 390, 748, 92, 288

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 92 are 2 x 2 x 23

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 390, 748, 92, 288 is 2.

Given numbers are 390, 748, 92, 288

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

Apply this formula for all numbers.

Step1:

LCM(390, 748) = 145860

GCD(390, 748) = ( 390 x 748 ) / 145860

= 390 / 748

= 390

Step2:

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

= 2 / 92

= 2

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 390, 748, 92, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 702, 36, 394
• GCD of 178, 343, 24, 788
• GCD of 208, 775, 94, 176
• GCD of 320, 756, 15, 692
• GCD of 912, 902, 12, 692

Given numbers are 390, 748, 92, 288
The greatest common divisor of numbers 390, 748, 92, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 748, 92, 288 is 2.

1. What is the GCD of 390, 748, 92, 288?

GCD of given numbers 390, 748, 92, 288 is 2

2. How to calculate the greatest common divisor of 390, 748, 92, 288?

We can find the highest common divisor of 390, 748, 92, 288 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 390, 748, 92, 288 i.e 2.

3. How can I use the GCD of 390, 748, 92, 288Calculator?

Out the numbers 390, 748, 92, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.