GCF of 4176/366, 9648/7279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4176/366, 9648/7279 i.e 144/2664114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4176/366, 9648/7279.
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 4176/366,9648/7279?
Given fractions are 4176/366,9648/7279
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 4176/366,9648/7279, numerators are 4176,9648
Denominators are 366,7279
The GCF of 4176,9648 is 144 .
LCM of 366,7279 is 2664114.
The greatest common factor of 4176/366,9648/7279 = [GCF of 4176,9648]/[LCM of 366,7279]= 144/2664114
Therefore, the GCF of 4176/366,9648/7279 is 144/2664114.
To find the highest common factor of 4176,9648, 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 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The HCF of 4176,9648 is 144.
Lets's calculate GCF of 4176,9648
| 2 | 4176, 9648 |
| 2 | 2088, 4824 |
| 2 | 1044, 2412 |
| 2 | 522, 1206 |
| 3 | 261, 603 |
| 3 | 87, 201 |
| 29, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 = 144
Greatest Common Factor of 4176,9648 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 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Greatest Common Factor
We found the factors 4176,9648 . The biggest common factor number is the GCF number.
So the greatest common factor 4176,9648 is 144.
Lets's calculate LCM of 366,7279
Given numbers has no common factors except 1. So, there LCM is their product i.e 2664114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 144/2664114
Therefore, the GCF of Fractions 4176/366,9648/7279 is 144/2664114
Least Common Multiple of 366,7279 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 366,7279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,7279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(366,7279) x common factors =1 x 1 = 1
LCM(366,7279) = ( 366 × 7279 ) / 1
LCM(366,7279) = 2664114 / 1
LCM(366,7279) = 2664114
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FAQs on GCF of Fractions of 4176/366, 9648/7279
1. What is the HCF of 4176,9648?
The HCF of 4176,9648 is 144
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 4176/366, 9648/7279?
Answer: GCF of Numerators as per given numbers 4176/366, 9648/7279 is
GCF of Numerators i.e. for 4176,9648 is 144
LCM of denominators i.e. for 366,7279 is 2664114.
Thus, GCF of Fractions is 144/2664114.Finally, GCF of Fractions for 4176/366, 9648/7279 is 144/2664114.