GCD of 390, 700, 382, 768 Calculator

Given Input numbers are 390, 700, 382, 768

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (390, 700, 382, 768) = 2.

Given numbers are 390, 700, 382, 768

The list of prime factors of all numbers are

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

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 382 are 2 x 191

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 390, 700, 382, 768 is 2.

Given numbers are 390, 700, 382, 768

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

Apply this formula for all numbers.

Step1:

LCM(390, 700) = 27300

GCD(390, 700) = ( 390 x 700 ) / 27300

= 390 / 700

= 390

Step2:

LCM(10, 382) = 1910

GCD(10, 382) = ( 10 x 382 ) / 1910

= 10 / 382

= 10

Step3:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

So, Greatest Common Divisor of 390, 700, 382, 768 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 946, 371, 943
• GCD of 655, 628, 572, 691
• GCD of 232, 255, 331, 179
• GCD of 751, 561, 476, 732
• GCD of 189, 231, 551, 265

Given numbers are 390, 700, 382, 768
The greatest common divisor of numbers 390, 700, 382, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 700, 382, 768 is 2.

1. What is the GCD of 390, 700, 382, 768?

GCD of given numbers 390, 700, 382, 768 is 2

2. How to calculate the greatest common divisor of 390, 700, 382, 768?

We can find the highest common divisor of 390, 700, 382, 768 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, 700, 382, 768 i.e 2.

3. How can I use the GCD of 390, 700, 382, 768Calculator?

Out the numbers 390, 700, 382, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.