Greatest Common Factor of 8200/429, 2225/2230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8200/429, 2225/2230

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8200/429,2225/2230

Given fractions are 8200/429,2225/2230

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8200,2225

Greatest Common Factor of Numerators i.e. GCF of 8200,2225 is 25 .

LCM of Denominators means LCM of 429,2230 as per the given fractions.

LCM of 429,2230 is 956670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8200,2225

GCF of Fractions 8200/429,2225/2230 is 25/956670

5 8200, 2225
5 1640, 445
328, 89

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 8200,2225 By Matching Biggest Common Factor Method

Greatest Common Factor of 8200,2225 By Matching Biggest Common Factor Method

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200

Factors of 2225

List of positive integer factors of 2225 that divides 2225 without a remainder.

1,5,25,89,445,2225

Greatest Common Factor

We found the factors 8200,2225 . The biggest common factor number is the GCF number.
So the greatest common factor 8200,2225 is 25.

Lets's calculate LCM of 429,2230

Given numbers has no common factors except 1. So, there LCM is their product i.e 956670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/956670

Therefore, the GCF of Fractions 8200/429,2225/2230 is 25/956670

Least Common Multiple of 429,2230 with GCF Formula

Least Common Multiple of 429,2230 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 429,2230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,2230) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(429,2230) x common factors =1 x 1 = 1

LCM(429,2230) = ( 429 × 2230 ) / 1

LCM(429,2230) = 956670 / 1

LCM(429,2230) = 956670


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8200/429, 2225/2230

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8200/429, 2225/2230?

Answer: GCF of Numerators as per given numbers 8200/429, 2225/2230 is

GCF of Numerators i.e. for 8200,2225 is 25

LCM of denominators i.e. for 429,2230 is 956670.

Thus, GCF of Fractions is 25/956670.Finally, GCF of Fractions for 8200/429, 2225/2230 is 25/956670.