Greatest Common Factor of 4119/28, 7470/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4119/28, 7470/267

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 4119/28,7470/267

Given fractions are 4119/28,7470/267

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 4119,7470

Greatest Common Factor of Numerators i.e. GCF of 4119,7470 is 3 .

LCM of Denominators means LCM of 28,267 as per the given fractions.

LCM of 28,267 is 7476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4119,7470

GCF of Fractions 4119/28,7470/267 is 3/7476

3 4119, 7470
1373, 2490

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4119,7470 By Matching Biggest Common Factor Method

Greatest Common Factor of 4119,7470 By Matching Biggest Common Factor Method

Factors of 4119

List of positive integer factors of 4119 that divides 4119 without a remainder.

1,3,1373,4119

Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470

Greatest Common Factor

We found the factors 4119,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 4119,7470 is 3.

Lets's calculate LCM of 28,267

Given numbers has no common factors except 1. So, there LCM is their product i.e 7476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7476

Therefore, the GCF of Fractions 4119/28,7470/267 is 3/7476

Least Common Multiple of 28,267 with GCF Formula

Least Common Multiple of 28,267 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 28,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,267) = 1

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

GCF(28,267) x common factors =1 x 1 = 1

LCM(28,267) = ( 28 × 267 ) / 1

LCM(28,267) = 7476 / 1

LCM(28,267) = 7476


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 4119/28, 7470/267

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 4119/28, 7470/267?

Answer: GCF of Numerators as per given numbers 4119/28, 7470/267 is

GCF of Numerators i.e. for 4119,7470 is 3

LCM of denominators i.e. for 28,267 is 7476.

Thus, GCF of Fractions is 3/7476.Finally, GCF of Fractions for 4119/28, 7470/267 is 3/7476.