GCF of 5404/48, 6816/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5404/48, 6816/416 i.e 4/1248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5404/48, 6816/416.
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 5404/48,6816/416?
Given fractions are 5404/48,6816/416
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 5404/48,6816/416, numerators are 5404,6816
Denominators are 48,416
The GCF of 5404,6816 is 4 .
LCM of 48,416 is 1248.
The greatest common factor of 5404/48,6816/416 = [GCF of 5404,6816]/[LCM of 48,416]= 4/1248
Therefore, the GCF of 5404/48,6816/416 is 4/1248.
To find the highest common factor of 5404,6816, we have to find the factors of both numbers and list the highest common factor.
The factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404
The factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816
The HCF of 5404,6816 is 4.
Lets's calculate GCF of 5404,6816
| 2 | 5404, 6816 |
| 2 | 2702, 3408 |
| 1351, 1704 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5404,6816 By Matching Biggest Common Factor Method
Now, list down the factors of 5404
:1,2,4,7,14,28,193,386,772,1351,2702,5404
Now, list down the factors of 6816
:1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816
Greatest Common Factor
We found the factors 5404,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 5404,6816 is 4.
Lets's calculate LCM of 48,416
| 2 | 48, 416 |
| 2 | 24, 208 |
| 2 | 12, 104 |
| 2 | 6, 52 |
| 3, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 26 = 1248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1248
Therefore, the GCF of Fractions 5404/48,6816/416 is 4/1248
Least Common Multiple of 48,416 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 48,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,416) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(48,416) x common factors =16 x 1 = 16
LCM(48,416) = ( 48 × 416 ) / 16
LCM(48,416) = 19968 / 16
LCM(48,416) = 1248
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FAQs on GCF of Fractions of 5404/48, 6816/416
1. What is the HCF of 5404,6816?
The HCF of 5404,6816 is 4
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 5404/48, 6816/416?
Answer: GCF of Numerators as per given numbers 5404/48, 6816/416 is
GCF of Numerators i.e. for 5404,6816 is 4
LCM of denominators i.e. for 48,416 is 1248.
Thus, GCF of Fractions is 4/1248.Finally, GCF of Fractions for 5404/48, 6816/416 is 4/1248.