GCF of 5557/538, 6908/2418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5557/538, 6908/2418 i.e 1/650442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5557/538, 6908/2418.
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 5557/538,6908/2418?
Given fractions are 5557/538,6908/2418
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 5557/538,6908/2418, numerators are 5557,6908
Denominators are 538,2418
The GCF of 5557,6908 is 1 .
LCM of 538,2418 is 650442.
The greatest common factor of 5557/538,6908/2418 = [GCF of 5557,6908]/[LCM of 538,2418]= 1/650442
Therefore, the GCF of 5557/538,6908/2418 is 1/650442.
To find the highest common factor of 5557,6908, we have to find the factors of both numbers and list the highest common factor.
The factors of 5557 are 1, 5557
The factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908
The HCF of 5557,6908 is 1.
Lets's calculate GCF of 5557,6908
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5557,6908 By Matching Biggest Common Factor Method
Now, list down the factors of 5557
:1,5557
Now, list down the factors of 6908
:1,2,4,11,22,44,157,314,628,1727,3454,6908
Greatest Common Factor
We found the factors 5557,6908 . The biggest common factor number is the GCF number.
So the greatest common factor 5557,6908 is 1.
Lets's calculate LCM of 538,2418
| 2 | 538, 2418 |
| 269, 1209 |
∴ So the LCM of the given numbers is 2 x 269 x 1209 = 650442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/650442
Therefore, the GCF of Fractions 5557/538,6908/2418 is 1/650442
Least Common Multiple of 538,2418 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 538,2418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,2418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,2418) x common factors =2 x 1 = 2
LCM(538,2418) = ( 538 × 2418 ) / 2
LCM(538,2418) = 1300884 / 2
LCM(538,2418) = 650442
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FAQs on GCF of Fractions of 5557/538, 6908/2418
1. What is the HCF of 5557,6908?
The HCF of 5557,6908 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 5557/538, 6908/2418?
Answer: GCF of Numerators as per given numbers 5557/538, 6908/2418 is
GCF of Numerators i.e. for 5557,6908 is 1
LCM of denominators i.e. for 538,2418 is 650442.
Thus, GCF of Fractions is 1/650442.Finally, GCF of Fractions for 5557/538, 6908/2418 is 1/650442.