GCD of 567, 798, 384, 765 Calculator

Given Input numbers are 567, 798, 384, 765

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

GCD of numbers is the greatest common divisor

So, the GCD (567, 798, 384, 765) = 3.

Given numbers are 567, 798, 384, 765

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 765 are 3 x 3 x 5 x 17

The highest common occurrence is 3¹

Therefore, GCD of 567, 798, 384, 765 is 3.

Given numbers are 567, 798, 384, 765

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

Apply this formula for all numbers.

Step1:

LCM(567, 798) = 21546

GCD(567, 798) = ( 567 x 798 ) / 21546

= 567 / 798

= 567

Step2:

LCM(21, 384) = 2688

GCD(21, 384) = ( 21 x 384 ) / 2688

= 21 / 384

= 21

Step3:

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

= 3 / 765

= 3

So, Greatest Common Divisor of 567, 798, 384, 765 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 214, 918, 655
• GCD of 654, 712, 555, 268
• GCD of 743, 957, 853, 656
• GCD of 109, 670, 361, 679
• GCD of 941, 243, 820, 639

Given numbers are 567, 798, 384, 765
The greatest common divisor of numbers 567, 798, 384, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 798, 384, 765 is 3.

1. What is the GCD of 567, 798, 384, 765?

GCD of given numbers 567, 798, 384, 765 is 3

2. How to calculate the greatest common divisor of 567, 798, 384, 765?

We can find the highest common divisor of 567, 798, 384, 765 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 567, 798, 384, 765 i.e 3.

3. How can I use the GCD of 567, 798, 384, 765Calculator?

Out the numbers 567, 798, 384, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.