GCF of 5254/711, 2233/2019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5254/711, 2233/2019 i.e 1/478503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5254/711, 2233/2019.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5254/711,2233/2019?
Given fractions are 5254/711,2233/2019
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5254/711,2233/2019, numerators are 5254,2233
Denominators are 711,2019
The GCF of 5254,2233 is 1 .
LCM of 711,2019 is 478503.
The greatest common factor of 5254/711,2233/2019 = [GCF of 5254,2233]/[LCM of 711,2019]= 1/478503
Therefore, the GCF of 5254/711,2233/2019 is 1/478503.
To find the highest common factor of 5254,2233, we have to find the factors of both numbers and list the highest common factor.
The factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254
The factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233
The HCF of 5254,2233 is 1.
Lets's calculate GCF of 5254,2233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5254,2233 By Matching Biggest Common Factor Method
Now, list down the factors of 5254
:1,2,37,71,74,142,2627,5254
Now, list down the factors of 2233
:1,7,11,29,77,203,319,2233
Greatest Common Factor
We found the factors 5254,2233 . The biggest common factor number is the GCF number.
So the greatest common factor 5254,2233 is 1.
Lets's calculate LCM of 711,2019
| 3 | 711, 2019 |
| 237, 673 |
∴ So the LCM of the given numbers is 3 x 237 x 673 = 478503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478503
Therefore, the GCF of Fractions 5254/711,2233/2019 is 1/478503
Least Common Multiple of 711,2019 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 711,2019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,2019) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(711,2019) x common factors =3 x 1 = 3
LCM(711,2019) = ( 711 × 2019 ) / 3
LCM(711,2019) = 1435509 / 3
LCM(711,2019) = 478503
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5254/711, 2233/2019
1. What is the HCF of 5254,2233?
The HCF of 5254,2233 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 5254/711, 2233/2019?
Answer: GCF of Numerators as per given numbers 5254/711, 2233/2019 is
GCF of Numerators i.e. for 5254,2233 is 1
LCM of denominators i.e. for 711,2019 is 478503.
Thus, GCF of Fractions is 1/478503.Finally, GCF of Fractions for 5254/711, 2233/2019 is 1/478503.