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GCD of 768, 180, 886, 624 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, 180, 886, 624 quickly. Get the easiest ways to solve the greatest common divisor of 768, 180, 886, 624 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 768, 180, 886, 624 with Factoring?

Given Input numbers are 768, 180, 886, 624

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624


GCD of numbers is the greatest common divisor

So, the GCD (768, 180, 886, 624) = 2.

Find GCD of 768, 180, 886, 624 using Prime Factorization

Given numbers are 768, 180, 886, 624

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 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 886 are 2 x 443

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 768, 180, 886, 624 is 2.

Steps to Calculate GCD of 768, 180, 886, 624 using LCM Formula

Given numbers are 768, 180, 886, 624

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

Apply this formula for all numbers.

Step1:

LCM(768, 180) = 11520

GCD(768, 180) = ( 768 x 180 ) / 11520

= 768 / 180

= 768


Step2:

LCM(12, 886) = 5316

GCD(12, 886) = ( 12 x 886 ) / 5316

= 12 / 886

= 12


Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2


So, Greatest Common Divisor of 768, 180, 886, 624 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 768, 180, 886, 624

Given numbers are 768, 180, 886, 624
The greatest common divisor of numbers 768, 180, 886, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 180, 886, 624 is 2.

FAQs on GCD of 768, 180, 886, 624 Calculator

1. What is the GCD of 768, 180, 886, 624?

GCD of given numbers 768, 180, 886, 624 is 2


2. How to calculate the greatest common divisor of 768, 180, 886, 624?

We can find the highest common divisor of 768, 180, 886, 624 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, 180, 886, 624 i.e 2.


3. How can I use the GCD of 768, 180, 886, 624Calculator?

Out the numbers 768, 180, 886, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.