GCD of 390, 646, 752, 448 Calculator

Given Input numbers are 390, 646, 752, 448

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 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (390, 646, 752, 448) = 2.

Given numbers are 390, 646, 752, 448

The list of prime factors of all numbers are

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

Prime factors of 646 are 2 x 17 x 19

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 390, 646, 752, 448 is 2.

Given numbers are 390, 646, 752, 448

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

Apply this formula for all numbers.

Step1:

LCM(390, 646) = 125970

GCD(390, 646) = ( 390 x 646 ) / 125970

= 390 / 646

= 390

Step2:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 390, 646, 752, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 530, 270, 655
• GCD of 698, 628, 897, 342
• GCD of 215, 235, 735, 894
• GCD of 263, 429, 518, 940
• GCD of 847, 168, 176, 394

Given numbers are 390, 646, 752, 448
The greatest common divisor of numbers 390, 646, 752, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 646, 752, 448 is 2.

1. What is the GCD of 390, 646, 752, 448?

GCD of given numbers 390, 646, 752, 448 is 2

2. How to calculate the greatest common divisor of 390, 646, 752, 448?

We can find the highest common divisor of 390, 646, 752, 448 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, 646, 752, 448 i.e 2.

3. How can I use the GCD of 390, 646, 752, 448Calculator?

Out the numbers 390, 646, 752, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.