Greatest Common Factor of 5228/71, 4906/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5228/71, 4906/482

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 5228/71,4906/482

Given fractions are 5228/71,4906/482

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 5228,4906

Greatest Common Factor of Numerators i.e. GCF of 5228,4906 is 2 .

LCM of Denominators means LCM of 71,482 as per the given fractions.

LCM of 71,482 is 34222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5228,4906

GCF of Fractions 5228/71,4906/482 is 2/34222

2 5228, 4906
2614, 2453

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5228,4906 By Matching Biggest Common Factor Method

Greatest Common Factor of 5228,4906 By Matching Biggest Common Factor Method

Factors of 5228

List of positive integer factors of 5228 that divides 5228 without a remainder.

1,2,4,1307,2614,5228

Factors of 4906

List of positive integer factors of 4906 that divides 4906 without a remainder.

1,2,11,22,223,446,2453,4906

Greatest Common Factor

We found the factors 5228,4906 . The biggest common factor number is the GCF number.
So the greatest common factor 5228,4906 is 2.

Lets's calculate LCM of 71,482

Given numbers has no common factors except 1. So, there LCM is their product i.e 34222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34222

Therefore, the GCF of Fractions 5228/71,4906/482 is 2/34222

Least Common Multiple of 71,482 with GCF Formula

Least Common Multiple of 71,482 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 71,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,482) = 1

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

GCF(71,482) x common factors =1 x 1 = 1

LCM(71,482) = ( 71 × 482 ) / 1

LCM(71,482) = 34222 / 1

LCM(71,482) = 34222


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 5228/71, 4906/482

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 5228/71, 4906/482?

Answer: GCF of Numerators as per given numbers 5228/71, 4906/482 is

GCF of Numerators i.e. for 5228,4906 is 2

LCM of denominators i.e. for 71,482 is 34222.

Thus, GCF of Fractions is 2/34222.Finally, GCF of Fractions for 5228/71, 4906/482 is 2/34222.