GCF of 4176/343, 5109/203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4176/343, 5109/203 i.e 3/9947 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4176/343, 5109/203.
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 4176/343,5109/203?
Given fractions are 4176/343,5109/203
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 4176/343,5109/203, numerators are 4176,5109
Denominators are 343,203
The GCF of 4176,5109 is 3 .
LCM of 343,203 is 9947.
The greatest common factor of 4176/343,5109/203 = [GCF of 4176,5109]/[LCM of 343,203]= 3/9947
Therefore, the GCF of 4176/343,5109/203 is 3/9947.
To find the highest common factor of 4176,5109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176
The factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109
The HCF of 4176,5109 is 3.
Lets's calculate GCF of 4176,5109
| 3 | 4176, 5109 |
| 1392, 1703 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4176,5109 By Matching Biggest Common Factor Method
Now, list down the factors of 4176
:1,2,3,4,6,8,9,12,16,18,24,29,36,48,58,72,87,116,144,174,232,261,348,464,522,696,1044,1392,2088,4176
Now, list down the factors of 5109
:1,3,13,39,131,393,1703,5109
Greatest Common Factor
We found the factors 4176,5109 . The biggest common factor number is the GCF number.
So the greatest common factor 4176,5109 is 3.
Lets's calculate LCM of 343,203
| 7 | 343, 203 |
| 49, 29 |
∴ So the LCM of the given numbers is 7 x 49 x 29 = 9947
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9947
Therefore, the GCF of Fractions 4176/343,5109/203 is 3/9947
Least Common Multiple of 343,203 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 343,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,203) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(343,203) x common factors =7 x 1 = 7
LCM(343,203) = ( 343 × 203 ) / 7
LCM(343,203) = 69629 / 7
LCM(343,203) = 9947
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FAQs on GCF of Fractions of 4176/343, 5109/203
1. What is the HCF of 4176,5109?
The HCF of 4176,5109 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 4176/343, 5109/203?
Answer: GCF of Numerators as per given numbers 4176/343, 5109/203 is
GCF of Numerators i.e. for 4176,5109 is 3
LCM of denominators i.e. for 343,203 is 9947.
Thus, GCF of Fractions is 3/9947.Finally, GCF of Fractions for 4176/343, 5109/203 is 3/9947.