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GCD of 190, 345, 130, 620 Calculator

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


Online GCD Calculator is useful to find the GCD of 190, 345, 130, 620 quickly. Get the easiest ways to solve the greatest common divisor of 190, 345, 130, 620 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 190, 345, 130, 620 with Factoring?

Given Input numbers are 190, 345, 130, 620

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

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 130 :

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

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

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620


GCD of numbers is the greatest common divisor

So, the GCD (190, 345, 130, 620) = 5.

Find GCD of 190, 345, 130, 620 using Prime Factorization

Given numbers are 190, 345, 130, 620

The list of prime factors of all numbers are

Prime factors of 190 are 2 x 5 x 19

Prime factors of 345 are 3 x 5 x 23

Prime factors of 130 are 2 x 5 x 13

Prime factors of 620 are 2 x 2 x 5 x 31

The highest common occurrence is 51

Therefore, GCD of 190, 345, 130, 620 is 5.

Steps to Calculate GCD of 190, 345, 130, 620 using LCM Formula

Given numbers are 190, 345, 130, 620

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

Apply this formula for all numbers.

Step1:

LCM(190, 345) = 13110

GCD(190, 345) = ( 190 x 345 ) / 13110

= 190 / 345

= 190


Step2:

LCM(5, 130) = 130

GCD(5, 130) = ( 5 x 130 ) / 130

= 5 / 130

= 5


Step3:

LCM(5, 620) = 620

GCD(5, 620) = ( 5 x 620 ) / 620

= 5 / 620

= 5


So, Greatest Common Divisor of 190, 345, 130, 620 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 190, 345, 130, 620

Given numbers are 190, 345, 130, 620
The greatest common divisor of numbers 190, 345, 130, 620 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 190, 345, 130, 620 is 5.

FAQs on GCD of 190, 345, 130, 620 Calculator

1. What is the GCD of 190, 345, 130, 620?

GCD of given numbers 190, 345, 130, 620 is 5


2. How to calculate the greatest common divisor of 190, 345, 130, 620?

We can find the highest common divisor of 190, 345, 130, 620 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 190, 345, 130, 620 i.e 5.


3. How can I use the GCD of 190, 345, 130, 620Calculator?

Out the numbers 190, 345, 130, 620 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.