GCF of 4880/294, 5256/1617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4880/294, 5256/1617 i.e 8/3234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4880/294, 5256/1617.
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 4880/294,5256/1617?
Given fractions are 4880/294,5256/1617
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 4880/294,5256/1617, numerators are 4880,5256
Denominators are 294,1617
The GCF of 4880,5256 is 8 .
LCM of 294,1617 is 3234.
The greatest common factor of 4880/294,5256/1617 = [GCF of 4880,5256]/[LCM of 294,1617]= 8/3234
Therefore, the GCF of 4880/294,5256/1617 is 8/3234.
To find the highest common factor of 4880,5256, we have to find the factors of both numbers and list the highest common factor.
The factors of 4880 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880
The factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256
The HCF of 4880,5256 is 8.
Lets's calculate GCF of 4880,5256
| 2 | 4880, 5256 |
| 2 | 2440, 2628 |
| 2 | 1220, 1314 |
| 610, 657 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4880,5256 By Matching Biggest Common Factor Method
Now, list down the factors of 4880
:1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880
Now, list down the factors of 5256
:1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256
Greatest Common Factor
We found the factors 4880,5256 . The biggest common factor number is the GCF number.
So the greatest common factor 4880,5256 is 8.
Lets's calculate LCM of 294,1617
| 3 | 294, 1617 |
| 7 | 98, 539 |
| 7 | 14, 77 |
| 2, 11 |
∴ So the LCM of the given numbers is 3 x 7 x 7 x 2 x 11 = 3234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3234
Therefore, the GCF of Fractions 4880/294,5256/1617 is 8/3234
Least Common Multiple of 294,1617 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 294,1617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,1617) = 147
common factors(in case of two or more numbers have common factors) = 1
GCF(294,1617) x common factors =147 x 1 = 147
LCM(294,1617) = ( 294 × 1617 ) / 147
LCM(294,1617) = 475398 / 147
LCM(294,1617) = 3234
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FAQs on GCF of Fractions of 4880/294, 5256/1617
1. What is the HCF of 4880,5256?
The HCF of 4880,5256 is 8
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 4880/294, 5256/1617?
Answer: GCF of Numerators as per given numbers 4880/294, 5256/1617 is
GCF of Numerators i.e. for 4880,5256 is 8
LCM of denominators i.e. for 294,1617 is 3234.
Thus, GCF of Fractions is 8/3234.Finally, GCF of Fractions for 4880/294, 5256/1617 is 8/3234.