LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 768, 520, 240, 628 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 768, 520, 240, 628 quickly. Get the easiest ways to solve the greatest common divisor of 768, 520, 240, 628 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 768, 520, 240, 628 with Factoring?

Given Input numbers are 768, 520, 240, 628

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

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628


GCD of numbers is the greatest common divisor

So, the GCD (768, 520, 240, 628) = 4.

Find GCD of 768, 520, 240, 628 using Prime Factorization

Given numbers are 768, 520, 240, 628

The list of prime factors of all numbers are

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

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 22

Therefore, GCD of 768, 520, 240, 628 is 4.

Steps to Calculate GCD of 768, 520, 240, 628 using LCM Formula

Given numbers are 768, 520, 240, 628

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

Apply this formula for all numbers.

Step1:

LCM(768, 520) = 49920

GCD(768, 520) = ( 768 x 520 ) / 49920

= 768 / 520

= 768


Step2:

LCM(8, 240) = 240

GCD(8, 240) = ( 8 x 240 ) / 240

= 8 / 240

= 8


Step3:

LCM(8, 628) = 1256

GCD(8, 628) = ( 8 x 628 ) / 1256

= 8 / 628

= 8


So, Greatest Common Divisor of 768, 520, 240, 628 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 768, 520, 240, 628

Given numbers are 768, 520, 240, 628
The greatest common divisor of numbers 768, 520, 240, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 520, 240, 628 is 4.

FAQs on GCD of 768, 520, 240, 628 Calculator

1. What is the GCD of 768, 520, 240, 628?

GCD of given numbers 768, 520, 240, 628 is 4


2. How to calculate the greatest common divisor of 768, 520, 240, 628?

We can find the highest common divisor of 768, 520, 240, 628 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 768, 520, 240, 628 i.e 4.


3. How can I use the GCD of 768, 520, 240, 628Calculator?

Out the numbers 768, 520, 240, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.