GCF of 5336/526, 7130/9096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5336/526, 7130/9096 i.e 46/2392248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5336/526, 7130/9096.
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 5336/526,7130/9096?
Given fractions are 5336/526,7130/9096
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 5336/526,7130/9096, numerators are 5336,7130
Denominators are 526,9096
The GCF of 5336,7130 is 46 .
LCM of 526,9096 is 2392248.
The greatest common factor of 5336/526,7130/9096 = [GCF of 5336,7130]/[LCM of 526,9096]= 46/2392248
Therefore, the GCF of 5336/526,7130/9096 is 46/2392248.
To find the highest common factor of 5336,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 5336 are 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 5336,7130 is 46.
Lets's calculate GCF of 5336,7130
| 2 | 5336, 7130 |
| 23 | 2668, 3565 |
| 116, 155 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 5336,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 5336
:1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 5336,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 5336,7130 is 46.
Lets's calculate LCM of 526,9096
| 2 | 526, 9096 |
| 263, 4548 |
∴ So the LCM of the given numbers is 2 x 263 x 4548 = 2392248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/2392248
Therefore, the GCF of Fractions 5336/526,7130/9096 is 46/2392248
Least Common Multiple of 526,9096 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 526,9096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,9096) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,9096) x common factors =2 x 1 = 2
LCM(526,9096) = ( 526 × 9096 ) / 2
LCM(526,9096) = 4784496 / 2
LCM(526,9096) = 2392248
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FAQs on GCF of Fractions of 5336/526, 7130/9096
1. What is the HCF of 5336,7130?
The HCF of 5336,7130 is 46
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 5336/526, 7130/9096?
Answer: GCF of Numerators as per given numbers 5336/526, 7130/9096 is
GCF of Numerators i.e. for 5336,7130 is 46
LCM of denominators i.e. for 526,9096 is 2392248.
Thus, GCF of Fractions is 46/2392248.Finally, GCF of Fractions for 5336/526, 7130/9096 is 46/2392248.