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 570, 990, 288, 357 Calculator

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


Online GCD Calculator is useful to find the GCD of 570, 990, 288, 357 quickly. Get the easiest ways to solve the greatest common divisor of 570, 990, 288, 357 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 570, 990, 288, 357 with Factoring?

Given Input numbers are 570, 990, 288, 357

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

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357


GCD of numbers is the greatest common divisor

So, the GCD (570, 990, 288, 357) = 3.

Find GCD of 570, 990, 288, 357 using Prime Factorization

Given numbers are 570, 990, 288, 357

The list of prime factors of all numbers are

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 31

Therefore, GCD of 570, 990, 288, 357 is 3.

Steps to Calculate GCD of 570, 990, 288, 357 using LCM Formula

Given numbers are 570, 990, 288, 357

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

Apply this formula for all numbers.

Step1:

LCM(570, 990) = 18810

GCD(570, 990) = ( 570 x 990 ) / 18810

= 570 / 990

= 570


Step2:

LCM(30, 288) = 1440

GCD(30, 288) = ( 30 x 288 ) / 1440

= 30 / 288

= 30


Step3:

LCM(6, 357) = 714

GCD(6, 357) = ( 6 x 357 ) / 714

= 6 / 357

= 6


So, Greatest Common Divisor of 570, 990, 288, 357 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 570, 990, 288, 357

Given numbers are 570, 990, 288, 357
The greatest common divisor of numbers 570, 990, 288, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 570, 990, 288, 357 is 3.

FAQs on GCD of 570, 990, 288, 357 Calculator

1. What is the GCD of 570, 990, 288, 357?

GCD of given numbers 570, 990, 288, 357 is 3


2. How to calculate the greatest common divisor of 570, 990, 288, 357?

We can find the highest common divisor of 570, 990, 288, 357 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 570, 990, 288, 357 i.e 3.


3. How can I use the GCD of 570, 990, 288, 357Calculator?

Out the numbers 570, 990, 288, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.