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GCD of 130, 723, 820, 492 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, 723, 820, 492 quickly. Get the easiest ways to solve the greatest common divisor of 130, 723, 820, 492 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 723, 820, 492 with Factoring?

Given Input numbers are 130, 723, 820, 492

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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492


GCD of numbers is the greatest common divisor

So, the GCD (130, 723, 820, 492) = 1.

Find GCD of 130, 723, 820, 492 using Prime Factorization

Given numbers are 130, 723, 820, 492

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 723 are 3 x 241

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 492 are 2 x 2 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 130, 723, 820, 492 using LCM Formula

Given numbers are 130, 723, 820, 492

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

Apply this formula for all numbers.

Step1:

LCM(130, 723) = 93990

GCD(130, 723) = ( 130 x 723 ) / 93990

= 130 / 723

= 130


Step2:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1


Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1


So, Greatest Common Divisor of 130, 723, 820, 492 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 723, 820, 492

Given numbers are 130, 723, 820, 492
The greatest common divisor of numbers 130, 723, 820, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 723, 820, 492 is 1.

FAQs on GCD of 130, 723, 820, 492 Calculator

1. What is the GCD of 130, 723, 820, 492?

GCD of given numbers 130, 723, 820, 492 is 1


2. How to calculate the greatest common divisor of 130, 723, 820, 492?

We can find the highest common divisor of 130, 723, 820, 492 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, 723, 820, 492 i.e 1.


3. How can I use the GCD of 130, 723, 820, 492Calculator?

Out the numbers 130, 723, 820, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.