Greatest Common Factor of 7228/480, 4470/6188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7228/480, 4470/6188

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 7228/480,4470/6188

Given fractions are 7228/480,4470/6188

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 7228,4470

Greatest Common Factor of Numerators i.e. GCF of 7228,4470 is 2 .

LCM of Denominators means LCM of 480,6188 as per the given fractions.

LCM of 480,6188 is 742560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7228,4470

GCF of Fractions 7228/480,4470/6188 is 2/742560

2 7228, 4470
3614, 2235

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

Greatest Common Factor of 7228,4470 By Matching Biggest Common Factor Method

Greatest Common Factor of 7228,4470 By Matching Biggest Common Factor Method

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1,2,4,13,26,52,139,278,556,1807,3614,7228

Factors of 4470

List of positive integer factors of 4470 that divides 4470 without a remainder.

1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470

Greatest Common Factor

We found the factors 7228,4470 . The biggest common factor number is the GCF number.
So the greatest common factor 7228,4470 is 2.

Lets's calculate LCM of 480,6188

2 480, 6188
2 240, 3094
120, 1547

∴ So the LCM of the given numbers is 2 x 2 x 120 x 1547 = 742560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/742560

Therefore, the GCF of Fractions 7228/480,4470/6188 is 2/742560

Least Common Multiple of 480,6188 with GCF Formula

Least Common Multiple of 480,6188 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 480,6188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,6188) = 4

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

GCF(480,6188) x common factors =4 x 1 = 4

LCM(480,6188) = ( 480 × 6188 ) / 4

LCM(480,6188) = 2970240 / 4

LCM(480,6188) = 742560


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 7228/480, 4470/6188

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 7228/480, 4470/6188?

Answer: GCF of Numerators as per given numbers 7228/480, 4470/6188 is

GCF of Numerators i.e. for 7228,4470 is 2

LCM of denominators i.e. for 480,6188 is 742560.

Thus, GCF of Fractions is 2/742560.Finally, GCF of Fractions for 7228/480, 4470/6188 is 2/742560.