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 576, 966, 882, 150 Calculator

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


Online GCD Calculator is useful to find the GCD of 576, 966, 882, 150 quickly. Get the easiest ways to solve the greatest common divisor of 576, 966, 882, 150 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 576, 966, 882, 150 with Factoring?

Given Input numbers are 576, 966, 882, 150

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150


GCD of numbers is the greatest common divisor

So, the GCD (576, 966, 882, 150) = 6.

Find GCD of 576, 966, 882, 150 using Prime Factorization

Given numbers are 576, 966, 882, 150

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 21 x 31

Therefore, GCD of 576, 966, 882, 150 is 6.

Steps to Calculate GCD of 576, 966, 882, 150 using LCM Formula

Given numbers are 576, 966, 882, 150

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

Apply this formula for all numbers.

Step1:

LCM(576, 966) = 92736

GCD(576, 966) = ( 576 x 966 ) / 92736

= 576 / 966

= 576


Step2:

LCM(6, 882) = 882

GCD(6, 882) = ( 6 x 882 ) / 882

= 6 / 882

= 6


Step3:

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

= 6 / 150

= 6


So, Greatest Common Divisor of 576, 966, 882, 150 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 576, 966, 882, 150

Given numbers are 576, 966, 882, 150
The greatest common divisor of numbers 576, 966, 882, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 966, 882, 150 is 6.

FAQs on GCD of 576, 966, 882, 150 Calculator

1. What is the GCD of 576, 966, 882, 150?

GCD of given numbers 576, 966, 882, 150 is 6


2. How to calculate the greatest common divisor of 576, 966, 882, 150?

We can find the highest common divisor of 576, 966, 882, 150 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 576, 966, 882, 150 i.e 6.


3. How can I use the GCD of 576, 966, 882, 150Calculator?

Out the numbers 576, 966, 882, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.