GCF of 4387/372, 5287/7925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4387/372, 5287/7925 i.e 1/2948100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4387/372, 5287/7925.
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 4387/372,5287/7925?
Given fractions are 4387/372,5287/7925
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 4387/372,5287/7925, numerators are 4387,5287
Denominators are 372,7925
The GCF of 4387,5287 is 1 .
LCM of 372,7925 is 2948100.
The greatest common factor of 4387/372,5287/7925 = [GCF of 4387,5287]/[LCM of 372,7925]= 1/2948100
Therefore, the GCF of 4387/372,5287/7925 is 1/2948100.
To find the highest common factor of 4387,5287, we have to find the factors of both numbers and list the highest common factor.
The factors of 4387 are 1, 41, 107, 4387
The factors of 5287 are 1, 17, 311, 5287
The HCF of 4387,5287 is 1.
Lets's calculate GCF of 4387,5287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4387,5287 By Matching Biggest Common Factor Method
Now, list down the factors of 4387
:1,41,107,4387
Now, list down the factors of 5287
:1,17,311,5287
Greatest Common Factor
We found the factors 4387,5287 . The biggest common factor number is the GCF number.
So the greatest common factor 4387,5287 is 1.
Lets's calculate LCM of 372,7925
Given numbers has no common factors except 1. So, there LCM is their product i.e 2948100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2948100
Therefore, the GCF of Fractions 4387/372,5287/7925 is 1/2948100
Least Common Multiple of 372,7925 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 372,7925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,7925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(372,7925) x common factors =1 x 1 = 1
LCM(372,7925) = ( 372 × 7925 ) / 1
LCM(372,7925) = 2948100 / 1
LCM(372,7925) = 2948100
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4387/372, 5287/7925
1. What is the HCF of 4387,5287?
The HCF of 4387,5287 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 4387/372, 5287/7925?
Answer: GCF of Numerators as per given numbers 4387/372, 5287/7925 is
GCF of Numerators i.e. for 4387,5287 is 1
LCM of denominators i.e. for 372,7925 is 2948100.
Thus, GCF of Fractions is 1/2948100.Finally, GCF of Fractions for 4387/372, 5287/7925 is 1/2948100.