GCF of 8466/168, 8314/2643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8466/168, 8314/2643 i.e 2/148008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8466/168, 8314/2643.
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 8466/168,8314/2643?
Given fractions are 8466/168,8314/2643
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 8466/168,8314/2643, numerators are 8466,8314
Denominators are 168,2643
The GCF of 8466,8314 is 2 .
LCM of 168,2643 is 148008.
The greatest common factor of 8466/168,8314/2643 = [GCF of 8466,8314]/[LCM of 168,2643]= 2/148008
Therefore, the GCF of 8466/168,8314/2643 is 2/148008.
To find the highest common factor of 8466,8314, we have to find the factors of both numbers and list the highest common factor.
The factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466
The factors of 8314 are 1, 2, 4157, 8314
The HCF of 8466,8314 is 2.
Lets's calculate GCF of 8466,8314
| 2 | 8466, 8314 |
| 4233, 4157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8466,8314 By Matching Biggest Common Factor Method
Now, list down the factors of 8466
:1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466
Now, list down the factors of 8314
:1,2,4157,8314
Greatest Common Factor
We found the factors 8466,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 8466,8314 is 2.
Lets's calculate LCM of 168,2643
| 3 | 168, 2643 |
| 56, 881 |
∴ So the LCM of the given numbers is 3 x 56 x 881 = 148008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148008
Therefore, the GCF of Fractions 8466/168,8314/2643 is 2/148008
Least Common Multiple of 168,2643 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 168,2643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,2643) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(168,2643) x common factors =3 x 1 = 3
LCM(168,2643) = ( 168 × 2643 ) / 3
LCM(168,2643) = 444024 / 3
LCM(168,2643) = 148008
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FAQs on GCF of Fractions of 8466/168, 8314/2643
1. What is the HCF of 8466,8314?
The HCF of 8466,8314 is 2
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 8466/168, 8314/2643?
Answer: GCF of Numerators as per given numbers 8466/168, 8314/2643 is
GCF of Numerators i.e. for 8466,8314 is 2
LCM of denominators i.e. for 168,2643 is 148008.
Thus, GCF of Fractions is 2/148008.Finally, GCF of Fractions for 8466/168, 8314/2643 is 2/148008.