GCF of 336/14, 385/8871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/14, 385/8871 i.e 7/124194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/14, 385/8871.
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 336/14,385/8871?
Given fractions are 336/14,385/8871
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 336/14,385/8871, numerators are 336,385
Denominators are 14,8871
The GCF of 336,385 is 7 .
LCM of 14,8871 is 124194.
The greatest common factor of 336/14,385/8871 = [GCF of 336,385]/[LCM of 14,8871]= 7/124194
Therefore, the GCF of 336/14,385/8871 is 7/124194.
To find the highest common factor of 336,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 336,385 is 7.
Lets's calculate GCF of 336,385
| 7 | 336, 385 |
| 48, 55 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 336,385 By Matching Biggest Common Factor Method
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 336,385 . The biggest common factor number is the GCF number.
So the greatest common factor 336,385 is 7.
Lets's calculate LCM of 14,8871
Given numbers has no common factors except 1. So, there LCM is their product i.e 124194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/124194
Therefore, the GCF of Fractions 336/14,385/8871 is 7/124194
Least Common Multiple of 14,8871 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 14,8871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,8871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,8871) x common factors =1 x 1 = 1
LCM(14,8871) = ( 14 × 8871 ) / 1
LCM(14,8871) = 124194 / 1
LCM(14,8871) = 124194
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 336/14, 385/8871
1. What is the HCF of 336,385?
The HCF of 336,385 is 7
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 336/14, 385/8871?
Answer: GCF of Numerators as per given numbers 336/14, 385/8871 is
GCF of Numerators i.e. for 336,385 is 7
LCM of denominators i.e. for 14,8871 is 124194.
Thus, GCF of Fractions is 7/124194.Finally, GCF of Fractions for 336/14, 385/8871 is 7/124194.