GCF of 6247/241, 8304/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6247/241, 8304/576 i.e 1/138816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6247/241, 8304/576.
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 6247/241,8304/576?
Given fractions are 6247/241,8304/576
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 6247/241,8304/576, numerators are 6247,8304
Denominators are 241,576
The GCF of 6247,8304 is 1 .
LCM of 241,576 is 138816.
The greatest common factor of 6247/241,8304/576 = [GCF of 6247,8304]/[LCM of 241,576]= 1/138816
Therefore, the GCF of 6247/241,8304/576 is 1/138816.
To find the highest common factor of 6247,8304, we have to find the factors of both numbers and list the highest common factor.
The factors of 6247 are 1, 6247
The factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304
The HCF of 6247,8304 is 1.
Lets's calculate GCF of 6247,8304
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6247,8304 By Matching Biggest Common Factor Method
Now, list down the factors of 6247
:1,6247
Now, list down the factors of 8304
:1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304
Greatest Common Factor
We found the factors 6247,8304 . The biggest common factor number is the GCF number.
So the greatest common factor 6247,8304 is 1.
Lets's calculate LCM of 241,576
Given numbers has no common factors except 1. So, there LCM is their product i.e 138816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138816
Therefore, the GCF of Fractions 6247/241,8304/576 is 1/138816
Least Common Multiple of 241,576 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 241,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,576) x common factors =1 x 1 = 1
LCM(241,576) = ( 241 × 576 ) / 1
LCM(241,576) = 138816 / 1
LCM(241,576) = 138816
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6247/241, 8304/576
1. What is the HCF of 6247,8304?
The HCF of 6247,8304 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 6247/241, 8304/576?
Answer: GCF of Numerators as per given numbers 6247/241, 8304/576 is
GCF of Numerators i.e. for 6247,8304 is 1
LCM of denominators i.e. for 241,576 is 138816.
Thus, GCF of Fractions is 1/138816.Finally, GCF of Fractions for 6247/241, 8304/576 is 1/138816.