Greatest Common Factor of 7550/109, 4856/2760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7550/109, 4856/2760

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 7550/109,4856/2760

Given fractions are 7550/109,4856/2760

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 7550,4856

Greatest Common Factor of Numerators i.e. GCF of 7550,4856 is 2 .

LCM of Denominators means LCM of 109,2760 as per the given fractions.

LCM of 109,2760 is 300840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7550,4856

GCF of Fractions 7550/109,4856/2760 is 2/300840

2 7550, 4856
3775, 2428

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

Greatest Common Factor of 7550,4856 By Matching Biggest Common Factor Method

Greatest Common Factor of 7550,4856 By Matching Biggest Common Factor Method

Factors of 7550

List of positive integer factors of 7550 that divides 7550 without a remainder.

1,2,5,10,25,50,151,302,755,1510,3775,7550

Factors of 4856

List of positive integer factors of 4856 that divides 4856 without a remainder.

1,2,4,8,607,1214,2428,4856

Greatest Common Factor

We found the factors 7550,4856 . The biggest common factor number is the GCF number.
So the greatest common factor 7550,4856 is 2.

Lets's calculate LCM of 109,2760

Given numbers has no common factors except 1. So, there LCM is their product i.e 300840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/300840

Therefore, the GCF of Fractions 7550/109,4856/2760 is 2/300840

Least Common Multiple of 109,2760 with GCF Formula

Least Common Multiple of 109,2760 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 109,2760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,2760) = 1

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

GCF(109,2760) x common factors =1 x 1 = 1

LCM(109,2760) = ( 109 × 2760 ) / 1

LCM(109,2760) = 300840 / 1

LCM(109,2760) = 300840


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 7550/109, 4856/2760

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 7550/109, 4856/2760?

Answer: GCF of Numerators as per given numbers 7550/109, 4856/2760 is

GCF of Numerators i.e. for 7550,4856 is 2

LCM of denominators i.e. for 109,2760 is 300840.

Thus, GCF of Fractions is 2/300840.Finally, GCF of Fractions for 7550/109, 4856/2760 is 2/300840.