Greatest Common Factor of 5444/928, 4223/7896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5444/928, 4223/7896

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 5444/928,4223/7896

Given fractions are 5444/928,4223/7896

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 5444,4223

Greatest Common Factor of Numerators i.e. GCF of 5444,4223 is 1 .

LCM of Denominators means LCM of 928,7896 as per the given fractions.

LCM of 928,7896 is 915936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5444,4223

GCF of Fractions 5444/928,4223/7896 is 1/915936

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

Greatest Common Factor of 5444,4223 By Matching Biggest Common Factor Method

Greatest Common Factor of 5444,4223 By Matching Biggest Common Factor Method

Factors of 5444

List of positive integer factors of 5444 that divides 5444 without a remainder.

1,2,4,1361,2722,5444

Factors of 4223

List of positive integer factors of 4223 that divides 4223 without a remainder.

1,41,103,4223

Greatest Common Factor

We found the factors 5444,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 5444,4223 is 1.

Lets's calculate LCM of 928,7896

2 928, 7896
2 464, 3948
2 232, 1974
116, 987

∴ So the LCM of the given numbers is 2 x 2 x 2 x 116 x 987 = 915936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/915936

Therefore, the GCF of Fractions 5444/928,4223/7896 is 1/915936

Least Common Multiple of 928,7896 with GCF Formula

Least Common Multiple of 928,7896 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 928,7896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,7896) = 8

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

GCF(928,7896) x common factors =8 x 1 = 8

LCM(928,7896) = ( 928 × 7896 ) / 8

LCM(928,7896) = 7327488 / 8

LCM(928,7896) = 915936


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 5444/928, 4223/7896

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 5444/928, 4223/7896?

Answer: GCF of Numerators as per given numbers 5444/928, 4223/7896 is

GCF of Numerators i.e. for 5444,4223 is 1

LCM of denominators i.e. for 928,7896 is 915936.

Thus, GCF of Fractions is 1/915936.Finally, GCF of Fractions for 5444/928, 4223/7896 is 1/915936.