GCF of 4176/273, 1353/9711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4176/273, 1353/9711 i.e 3/67977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4176/273, 1353/9711.
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 4176/273,1353/9711?
Given fractions are 4176/273,1353/9711
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 4176/273,1353/9711, numerators are 4176,1353
Denominators are 273,9711
The GCF of 4176,1353 is 3 .
LCM of 273,9711 is 67977.
The greatest common factor of 4176/273,1353/9711 = [GCF of 4176,1353]/[LCM of 273,9711]= 3/67977
Therefore, the GCF of 4176/273,1353/9711 is 3/67977.
To find the highest common factor of 4176,1353, 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 1353 are 1, 3, 11, 33, 41, 123, 451, 1353
The HCF of 4176,1353 is 3.
Lets's calculate GCF of 4176,1353
| 3 | 4176, 1353 |
| 1392, 451 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4176,1353 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 1353
:1,3,11,33,41,123,451,1353
Greatest Common Factor
We found the factors 4176,1353 . The biggest common factor number is the GCF number.
So the greatest common factor 4176,1353 is 3.
Lets's calculate LCM of 273,9711
| 3 | 273, 9711 |
| 13 | 91, 3237 |
| 7, 249 |
∴ So the LCM of the given numbers is 3 x 13 x 7 x 249 = 67977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/67977
Therefore, the GCF of Fractions 4176/273,1353/9711 is 3/67977
Least Common Multiple of 273,9711 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 273,9711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,9711) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(273,9711) x common factors =39 x 1 = 39
LCM(273,9711) = ( 273 × 9711 ) / 39
LCM(273,9711) = 2651103 / 39
LCM(273,9711) = 67977
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FAQs on GCF of Fractions of 4176/273, 1353/9711
1. What is the HCF of 4176,1353?
The HCF of 4176,1353 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 4176/273, 1353/9711?
Answer: GCF of Numerators as per given numbers 4176/273, 1353/9711 is
GCF of Numerators i.e. for 4176,1353 is 3
LCM of denominators i.e. for 273,9711 is 67977.
Thus, GCF of Fractions is 3/67977.Finally, GCF of Fractions for 4176/273, 1353/9711 is 3/67977.