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GCD of 130, 434, 232, 990 Calculator

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


Online GCD Calculator is useful to find the GCD of 130, 434, 232, 990 quickly. Get the easiest ways to solve the greatest common divisor of 130, 434, 232, 990 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 434, 232, 990 with Factoring?

Given Input numbers are 130, 434, 232, 990

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

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


GCD of numbers is the greatest common divisor

So, the GCD (130, 434, 232, 990) = 2.

Find GCD of 130, 434, 232, 990 using Prime Factorization

Given numbers are 130, 434, 232, 990

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 434 are 2 x 7 x 31

Prime factors of 232 are 2 x 2 x 2 x 29

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

The highest common occurrence is 21

Therefore, GCD of 130, 434, 232, 990 is 2.

Steps to Calculate GCD of 130, 434, 232, 990 using LCM Formula

Given numbers are 130, 434, 232, 990

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

Apply this formula for all numbers.

Step1:

LCM(130, 434) = 28210

GCD(130, 434) = ( 130 x 434 ) / 28210

= 130 / 434

= 130


Step2:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2


Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2


So, Greatest Common Divisor of 130, 434, 232, 990 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 434, 232, 990

Given numbers are 130, 434, 232, 990
The greatest common divisor of numbers 130, 434, 232, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 434, 232, 990 is 2.

FAQs on GCD of 130, 434, 232, 990 Calculator

1. What is the GCD of 130, 434, 232, 990?

GCD of given numbers 130, 434, 232, 990 is 2


2. How to calculate the greatest common divisor of 130, 434, 232, 990?

We can find the highest common divisor of 130, 434, 232, 990 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 130, 434, 232, 990 i.e 2.


3. How can I use the GCD of 130, 434, 232, 990Calculator?

Out the numbers 130, 434, 232, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.