GCF of 4307/196, 4384/4164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4307/196, 4384/4164 i.e 1/204036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4307/196, 4384/4164.
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 4307/196,4384/4164?
Given fractions are 4307/196,4384/4164
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 4307/196,4384/4164, numerators are 4307,4384
Denominators are 196,4164
The GCF of 4307,4384 is 1 .
LCM of 196,4164 is 204036.
The greatest common factor of 4307/196,4384/4164 = [GCF of 4307,4384]/[LCM of 196,4164]= 1/204036
Therefore, the GCF of 4307/196,4384/4164 is 1/204036.
To find the highest common factor of 4307,4384, we have to find the factors of both numbers and list the highest common factor.
The factors of 4307 are 1, 59, 73, 4307
The factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384
The HCF of 4307,4384 is 1.
Lets's calculate GCF of 4307,4384
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4307,4384 By Matching Biggest Common Factor Method
Now, list down the factors of 4307
:1,59,73,4307
Now, list down the factors of 4384
:1,2,4,8,16,32,137,274,548,1096,2192,4384
Greatest Common Factor
We found the factors 4307,4384 . The biggest common factor number is the GCF number.
So the greatest common factor 4307,4384 is 1.
Lets's calculate LCM of 196,4164
| 2 | 196, 4164 |
| 2 | 98, 2082 |
| 49, 1041 |
∴ So the LCM of the given numbers is 2 x 2 x 49 x 1041 = 204036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204036
Therefore, the GCF of Fractions 4307/196,4384/4164 is 1/204036
Least Common Multiple of 196,4164 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 196,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,4164) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(196,4164) x common factors =4 x 1 = 4
LCM(196,4164) = ( 196 × 4164 ) / 4
LCM(196,4164) = 816144 / 4
LCM(196,4164) = 204036
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FAQs on GCF of Fractions of 4307/196, 4384/4164
1. What is the HCF of 4307,4384?
The HCF of 4307,4384 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 4307/196, 4384/4164?
Answer: GCF of Numerators as per given numbers 4307/196, 4384/4164 is
GCF of Numerators i.e. for 4307,4384 is 1
LCM of denominators i.e. for 196,4164 is 204036.
Thus, GCF of Fractions is 1/204036.Finally, GCF of Fractions for 4307/196, 4384/4164 is 1/204036.