GCF of 5558/414, 9944/8527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5558/414, 9944/8527 i.e 2/3530178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5558/414, 9944/8527.
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 5558/414,9944/8527?
Given fractions are 5558/414,9944/8527
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 5558/414,9944/8527, numerators are 5558,9944
Denominators are 414,8527
The GCF of 5558,9944 is 2 .
LCM of 414,8527 is 3530178.
The greatest common factor of 5558/414,9944/8527 = [GCF of 5558,9944]/[LCM of 414,8527]= 2/3530178
Therefore, the GCF of 5558/414,9944/8527 is 2/3530178.
To find the highest common factor of 5558,9944, we have to find the factors of both numbers and list the highest common factor.
The factors of 5558 are 1, 2, 7, 14, 397, 794, 2779, 5558
The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944
The HCF of 5558,9944 is 2.
Lets's calculate GCF of 5558,9944
| 2 | 5558, 9944 |
| 2779, 4972 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5558,9944 By Matching Biggest Common Factor Method
Now, list down the factors of 5558
:1,2,7,14,397,794,2779,5558
Now, list down the factors of 9944
:1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944
Greatest Common Factor
We found the factors 5558,9944 . The biggest common factor number is the GCF number.
So the greatest common factor 5558,9944 is 2.
Lets's calculate LCM of 414,8527
Given numbers has no common factors except 1. So, there LCM is their product i.e 3530178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3530178
Therefore, the GCF of Fractions 5558/414,9944/8527 is 2/3530178
Least Common Multiple of 414,8527 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 414,8527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,8527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,8527) x common factors =1 x 1 = 1
LCM(414,8527) = ( 414 × 8527 ) / 1
LCM(414,8527) = 3530178 / 1
LCM(414,8527) = 3530178
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5558/414, 9944/8527
1. What is the HCF of 5558,9944?
The HCF of 5558,9944 is 2
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 5558/414, 9944/8527?
Answer: GCF of Numerators as per given numbers 5558/414, 9944/8527 is
GCF of Numerators i.e. for 5558,9944 is 2
LCM of denominators i.e. for 414,8527 is 3530178.
Thus, GCF of Fractions is 2/3530178.Finally, GCF of Fractions for 5558/414, 9944/8527 is 2/3530178.