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GCD of 130, 102, 82, 827 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, 102, 82, 827 quickly. Get the easiest ways to solve the greatest common divisor of 130, 102, 82, 827 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 102, 82, 827 with Factoring?

Given Input numbers are 130, 102, 82, 827

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827


GCD of numbers is the greatest common divisor

So, the GCD (130, 102, 82, 827) = 1.

Find GCD of 130, 102, 82, 827 using Prime Factorization

Given numbers are 130, 102, 82, 827

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 102 are 2 x 3 x 17

Prime factors of 82 are 2 x 41

Prime factors of 827 are 827

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

Steps to Calculate GCD of 130, 102, 82, 827 using LCM Formula

Given numbers are 130, 102, 82, 827

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

Apply this formula for all numbers.

Step1:

LCM(130, 102) = 6630

GCD(130, 102) = ( 130 x 102 ) / 6630

= 130 / 102

= 130


Step2:

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

= 2 / 82

= 2


Step3:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2


So, Greatest Common Divisor of 130, 102, 82, 827 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 102, 82, 827

Given numbers are 130, 102, 82, 827
The greatest common divisor of numbers 130, 102, 82, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 102, 82, 827 is 1.

FAQs on GCD of 130, 102, 82, 827 Calculator

1. What is the GCD of 130, 102, 82, 827?

GCD of given numbers 130, 102, 82, 827 is 1


2. How to calculate the greatest common divisor of 130, 102, 82, 827?

We can find the highest common divisor of 130, 102, 82, 827 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, 102, 82, 827 i.e 1.


3. How can I use the GCD of 130, 102, 82, 827Calculator?

Out the numbers 130, 102, 82, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.