Greatest Common Factor of 5078/919, 5442/5436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5078/919, 5442/5436

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 5078/919,5442/5436

Given fractions are 5078/919,5442/5436

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 5078,5442

Greatest Common Factor of Numerators i.e. GCF of 5078,5442 is 2 .

LCM of Denominators means LCM of 919,5436 as per the given fractions.

LCM of 919,5436 is 4995684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5078,5442

GCF of Fractions 5078/919,5442/5436 is 2/4995684

2 5078, 5442
2539, 2721

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

Greatest Common Factor of 5078,5442 By Matching Biggest Common Factor Method

Greatest Common Factor of 5078,5442 By Matching Biggest Common Factor Method

Factors of 5078

List of positive integer factors of 5078 that divides 5078 without a remainder.

1,2,2539,5078

Factors of 5442

List of positive integer factors of 5442 that divides 5442 without a remainder.

1,2,3,6,907,1814,2721,5442

Greatest Common Factor

We found the factors 5078,5442 . The biggest common factor number is the GCF number.
So the greatest common factor 5078,5442 is 2.

Lets's calculate LCM of 919,5436

Given numbers has no common factors except 1. So, there LCM is their product i.e 4995684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4995684

Therefore, the GCF of Fractions 5078/919,5442/5436 is 2/4995684

Least Common Multiple of 919,5436 with GCF Formula

Least Common Multiple of 919,5436 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 919,5436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,5436) = 1

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

GCF(919,5436) x common factors =1 x 1 = 1

LCM(919,5436) = ( 919 × 5436 ) / 1

LCM(919,5436) = 4995684 / 1

LCM(919,5436) = 4995684


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 5078/919, 5442/5436

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 5078/919, 5442/5436?

Answer: GCF of Numerators as per given numbers 5078/919, 5442/5436 is

GCF of Numerators i.e. for 5078,5442 is 2

LCM of denominators i.e. for 919,5436 is 4995684.

Thus, GCF of Fractions is 2/4995684.Finally, GCF of Fractions for 5078/919, 5442/5436 is 2/4995684.