GCF of 5336/383, 9688/7110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5336/383, 9688/7110 i.e 8/2723130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5336/383, 9688/7110.
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 5336/383,9688/7110?
Given fractions are 5336/383,9688/7110
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 5336/383,9688/7110, numerators are 5336,9688
Denominators are 383,7110
The GCF of 5336,9688 is 8 .
LCM of 383,7110 is 2723130.
The greatest common factor of 5336/383,9688/7110 = [GCF of 5336,9688]/[LCM of 383,7110]= 8/2723130
Therefore, the GCF of 5336/383,9688/7110 is 8/2723130.
To find the highest common factor of 5336,9688, 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 9688 are 1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688
The HCF of 5336,9688 is 8.
Lets's calculate GCF of 5336,9688
| 2 | 5336, 9688 |
| 2 | 2668, 4844 |
| 2 | 1334, 2422 |
| 667, 1211 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5336,9688 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 9688
:1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688
Greatest Common Factor
We found the factors 5336,9688 . The biggest common factor number is the GCF number.
So the greatest common factor 5336,9688 is 8.
Lets's calculate LCM of 383,7110
Given numbers has no common factors except 1. So, there LCM is their product i.e 2723130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2723130
Therefore, the GCF of Fractions 5336/383,9688/7110 is 8/2723130
Least Common Multiple of 383,7110 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 383,7110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,7110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,7110) x common factors =1 x 1 = 1
LCM(383,7110) = ( 383 × 7110 ) / 1
LCM(383,7110) = 2723130 / 1
LCM(383,7110) = 2723130
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5336/383, 9688/7110
1. What is the HCF of 5336,9688?
The HCF of 5336,9688 is 8
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 5336/383, 9688/7110?
Answer: GCF of Numerators as per given numbers 5336/383, 9688/7110 is
GCF of Numerators i.e. for 5336,9688 is 8
LCM of denominators i.e. for 383,7110 is 2723130.
Thus, GCF of Fractions is 8/2723130.Finally, GCF of Fractions for 5336/383, 9688/7110 is 8/2723130.