GCF of 8066/658, 9814/1833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8066/658, 9814/1833 i.e 2/25662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8066/658, 9814/1833.
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 8066/658,9814/1833?
Given fractions are 8066/658,9814/1833
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 8066/658,9814/1833, numerators are 8066,9814
Denominators are 658,1833
The GCF of 8066,9814 is 2 .
LCM of 658,1833 is 25662.
The greatest common factor of 8066/658,9814/1833 = [GCF of 8066,9814]/[LCM of 658,1833]= 2/25662
Therefore, the GCF of 8066/658,9814/1833 is 2/25662.
To find the highest common factor of 8066,9814, we have to find the factors of both numbers and list the highest common factor.
The factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066
The factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814
The HCF of 8066,9814 is 2.
Lets's calculate GCF of 8066,9814
| 2 | 8066, 9814 |
| 4033, 4907 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8066,9814 By Matching Biggest Common Factor Method
Now, list down the factors of 8066
:1,2,37,74,109,218,4033,8066
Now, list down the factors of 9814
:1,2,7,14,701,1402,4907,9814
Greatest Common Factor
We found the factors 8066,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 8066,9814 is 2.
Lets's calculate LCM of 658,1833
| 47 | 658, 1833 |
| 14, 39 |
∴ So the LCM of the given numbers is 47 x 14 x 39 = 25662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25662
Therefore, the GCF of Fractions 8066/658,9814/1833 is 2/25662
Least Common Multiple of 658,1833 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 658,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,1833) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(658,1833) x common factors =47 x 1 = 47
LCM(658,1833) = ( 658 × 1833 ) / 47
LCM(658,1833) = 1206114 / 47
LCM(658,1833) = 25662
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FAQs on GCF of Fractions of 8066/658, 9814/1833
1. What is the HCF of 8066,9814?
The HCF of 8066,9814 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 8066/658, 9814/1833?
Answer: GCF of Numerators as per given numbers 8066/658, 9814/1833 is
GCF of Numerators i.e. for 8066,9814 is 2
LCM of denominators i.e. for 658,1833 is 25662.
Thus, GCF of Fractions is 2/25662.Finally, GCF of Fractions for 8066/658, 9814/1833 is 2/25662.