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GCD of 802, 218, 44, 130 Calculator

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


Online GCD Calculator is useful to find the GCD of 802, 218, 44, 130 quickly. Get the easiest ways to solve the greatest common divisor of 802, 218, 44, 130 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 218, 44, 130 with Factoring?

Given Input numbers are 802, 218, 44, 130

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 44 :

The positive integer divisors of 44 that completely divides 44 are.

1, 2, 4, 11, 22, 44

Divisors of 130 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (802, 218, 44, 130) = 2.

Find GCD of 802, 218, 44, 130 using Prime Factorization

Given numbers are 802, 218, 44, 130

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 218 are 2 x 109

Prime factors of 44 are 2 x 2 x 11

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 21

Therefore, GCD of 802, 218, 44, 130 is 2.

Steps to Calculate GCD of 802, 218, 44, 130 using LCM Formula

Given numbers are 802, 218, 44, 130

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

Apply this formula for all numbers.

Step1:

LCM(802, 218) = 87418

GCD(802, 218) = ( 802 x 218 ) / 87418

= 802 / 218

= 802


Step2:

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

= 2 / 44

= 2


Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2


So, Greatest Common Divisor of 802, 218, 44, 130 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 218, 44, 130

Given numbers are 802, 218, 44, 130
The greatest common divisor of numbers 802, 218, 44, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 218, 44, 130 is 2.

FAQs on GCD of 802, 218, 44, 130 Calculator

1. What is the GCD of 802, 218, 44, 130?

GCD of given numbers 802, 218, 44, 130 is 2


2. How to calculate the greatest common divisor of 802, 218, 44, 130?

We can find the highest common divisor of 802, 218, 44, 130 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 802, 218, 44, 130 i.e 2.


3. How can I use the GCD of 802, 218, 44, 130Calculator?

Out the numbers 802, 218, 44, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.