Greatest Common Factor of 8055/240, 4604/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8055/240, 4604/548

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 8055/240,4604/548

Given fractions are 8055/240,4604/548

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 8055,4604

Greatest Common Factor of Numerators i.e. GCF of 8055,4604 is 1 .

LCM of Denominators means LCM of 240,548 as per the given fractions.

LCM of 240,548 is 32880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8055,4604

GCF of Fractions 8055/240,4604/548 is 1/32880

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8055,4604 By Matching Biggest Common Factor Method

Greatest Common Factor of 8055,4604 By Matching Biggest Common Factor Method

Factors of 8055

List of positive integer factors of 8055 that divides 8055 without a remainder.

1,3,5,9,15,45,179,537,895,1611,2685,8055

Factors of 4604

List of positive integer factors of 4604 that divides 4604 without a remainder.

1,2,4,1151,2302,4604

Greatest Common Factor

We found the factors 8055,4604 . The biggest common factor number is the GCF number.
So the greatest common factor 8055,4604 is 1.

Lets's calculate LCM of 240,548

2 240, 548
2 120, 274
60, 137

∴ So the LCM of the given numbers is 2 x 2 x 60 x 137 = 32880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32880

Therefore, the GCF of Fractions 8055/240,4604/548 is 1/32880

Least Common Multiple of 240,548 with GCF Formula

Least Common Multiple of 240,548 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 240,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,548) = 4

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

GCF(240,548) x common factors =4 x 1 = 4

LCM(240,548) = ( 240 × 548 ) / 4

LCM(240,548) = 131520 / 4

LCM(240,548) = 32880


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 8055/240, 4604/548

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 8055/240, 4604/548?

Answer: GCF of Numerators as per given numbers 8055/240, 4604/548 is

GCF of Numerators i.e. for 8055,4604 is 1

LCM of denominators i.e. for 240,548 is 32880.

Thus, GCF of Fractions is 1/32880.Finally, GCF of Fractions for 8055/240, 4604/548 is 1/32880.