GCF of 8487/168, 4048/8019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8487/168, 4048/8019 i.e 23/449064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8487/168, 4048/8019.
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 8487/168,4048/8019?
Given fractions are 8487/168,4048/8019
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 8487/168,4048/8019, numerators are 8487,4048
Denominators are 168,8019
The GCF of 8487,4048 is 23 .
LCM of 168,8019 is 449064.
The greatest common factor of 8487/168,4048/8019 = [GCF of 8487,4048]/[LCM of 168,8019]= 23/449064
Therefore, the GCF of 8487/168,4048/8019 is 23/449064.
To find the highest common factor of 8487,4048, we have to find the factors of both numbers and list the highest common factor.
The factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487
The factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048
The HCF of 8487,4048 is 23.
Lets's calculate GCF of 8487,4048
| 23 | 8487, 4048 |
| 369, 176 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 8487,4048 By Matching Biggest Common Factor Method
Now, list down the factors of 8487
:1,3,9,23,41,69,123,207,369,943,2829,8487
Now, list down the factors of 4048
:1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048
Greatest Common Factor
We found the factors 8487,4048 . The biggest common factor number is the GCF number.
So the greatest common factor 8487,4048 is 23.
Lets's calculate LCM of 168,8019
| 3 | 168, 8019 |
| 56, 2673 |
∴ So the LCM of the given numbers is 3 x 56 x 2673 = 449064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/449064
Therefore, the GCF of Fractions 8487/168,4048/8019 is 23/449064
Least Common Multiple of 168,8019 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 168,8019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,8019) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(168,8019) x common factors =3 x 1 = 3
LCM(168,8019) = ( 168 × 8019 ) / 3
LCM(168,8019) = 1347192 / 3
LCM(168,8019) = 449064
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FAQs on GCF of Fractions of 8487/168, 4048/8019
1. What is the HCF of 8487,4048?
The HCF of 8487,4048 is 23
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 8487/168, 4048/8019?
Answer: GCF of Numerators as per given numbers 8487/168, 4048/8019 is
GCF of Numerators i.e. for 8487,4048 is 23
LCM of denominators i.e. for 168,8019 is 449064.
Thus, GCF of Fractions is 23/449064.Finally, GCF of Fractions for 8487/168, 4048/8019 is 23/449064.