GCF of 9478/307, 4233/6153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9478/307, 4233/6153 i.e 1/1888971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9478/307, 4233/6153.
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 9478/307,4233/6153?
Given fractions are 9478/307,4233/6153
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 9478/307,4233/6153, numerators are 9478,4233
Denominators are 307,6153
The GCF of 9478,4233 is 1 .
LCM of 307,6153 is 1888971.
The greatest common factor of 9478/307,4233/6153 = [GCF of 9478,4233]/[LCM of 307,6153]= 1/1888971
Therefore, the GCF of 9478/307,4233/6153 is 1/1888971.
To find the highest common factor of 9478,4233, we have to find the factors of both numbers and list the highest common factor.
The factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478
The factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233
The HCF of 9478,4233 is 1.
Lets's calculate GCF of 9478,4233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9478,4233 By Matching Biggest Common Factor Method
Now, list down the factors of 9478
:1,2,7,14,677,1354,4739,9478
Now, list down the factors of 4233
:1,3,17,51,83,249,1411,4233
Greatest Common Factor
We found the factors 9478,4233 . The biggest common factor number is the GCF number.
So the greatest common factor 9478,4233 is 1.
Lets's calculate LCM of 307,6153
Given numbers has no common factors except 1. So, there LCM is their product i.e 1888971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1888971
Therefore, the GCF of Fractions 9478/307,4233/6153 is 1/1888971
Least Common Multiple of 307,6153 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 307,6153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,6153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,6153) x common factors =1 x 1 = 1
LCM(307,6153) = ( 307 × 6153 ) / 1
LCM(307,6153) = 1888971 / 1
LCM(307,6153) = 1888971
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9478/307, 4233/6153
1. What is the HCF of 9478,4233?
The HCF of 9478,4233 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 9478/307, 4233/6153?
Answer: GCF of Numerators as per given numbers 9478/307, 4233/6153 is
GCF of Numerators i.e. for 9478,4233 is 1
LCM of denominators i.e. for 307,6153 is 1888971.
Thus, GCF of Fractions is 1/1888971.Finally, GCF of Fractions for 9478/307, 4233/6153 is 1/1888971.