GCF of 4389/168, 3441/4319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4389/168, 3441/4319 i.e 3/103656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4389/168, 3441/4319.
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 4389/168,3441/4319?
Given fractions are 4389/168,3441/4319
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 4389/168,3441/4319, numerators are 4389,3441
Denominators are 168,4319
The GCF of 4389,3441 is 3 .
LCM of 168,4319 is 103656.
The greatest common factor of 4389/168,3441/4319 = [GCF of 4389,3441]/[LCM of 168,4319]= 3/103656
Therefore, the GCF of 4389/168,3441/4319 is 3/103656.
To find the highest common factor of 4389,3441, we have to find the factors of both numbers and list the highest common factor.
The factors of 4389 are 1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 399, 627, 1463, 4389
The factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441
The HCF of 4389,3441 is 3.
Lets's calculate GCF of 4389,3441
| 3 | 4389, 3441 |
| 1463, 1147 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4389,3441 By Matching Biggest Common Factor Method
Now, list down the factors of 4389
:1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389
Now, list down the factors of 3441
:1,3,31,37,93,111,1147,3441
Greatest Common Factor
We found the factors 4389,3441 . The biggest common factor number is the GCF number.
So the greatest common factor 4389,3441 is 3.
Lets's calculate LCM of 168,4319
| 7 | 168, 4319 |
| 24, 617 |
∴ So the LCM of the given numbers is 7 x 24 x 617 = 103656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/103656
Therefore, the GCF of Fractions 4389/168,3441/4319 is 3/103656
Least Common Multiple of 168,4319 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 168,4319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,4319) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(168,4319) x common factors =7 x 1 = 7
LCM(168,4319) = ( 168 × 4319 ) / 7
LCM(168,4319) = 725592 / 7
LCM(168,4319) = 103656
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FAQs on GCF of Fractions of 4389/168, 3441/4319
1. What is the HCF of 4389,3441?
The HCF of 4389,3441 is 3
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 4389/168, 3441/4319?
Answer: GCF of Numerators as per given numbers 4389/168, 3441/4319 is
GCF of Numerators i.e. for 4389,3441 is 3
LCM of denominators i.e. for 168,4319 is 103656.
Thus, GCF of Fractions is 3/103656.Finally, GCF of Fractions for 4389/168, 3441/4319 is 3/103656.