GCF of 7863/494, 8220/2088
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7863/494, 8220/2088 i.e 3/515736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7863/494, 8220/2088.
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 7863/494,8220/2088?
Given fractions are 7863/494,8220/2088
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 7863/494,8220/2088, numerators are 7863,8220
Denominators are 494,2088
The GCF of 7863,8220 is 3 .
LCM of 494,2088 is 515736.
The greatest common factor of 7863/494,8220/2088 = [GCF of 7863,8220]/[LCM of 494,2088]= 3/515736
Therefore, the GCF of 7863/494,8220/2088 is 3/515736.
To find the highest common factor of 7863,8220, we have to find the factors of both numbers and list the highest common factor.
The factors of 7863 are 1, 3, 2621, 7863
The factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220
The HCF of 7863,8220 is 3.
Lets's calculate GCF of 7863,8220
| 3 | 7863, 8220 |
| 2621, 2740 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7863,8220 By Matching Biggest Common Factor Method
Now, list down the factors of 7863
:1,3,2621,7863
Now, list down the factors of 8220
:1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220
Greatest Common Factor
We found the factors 7863,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 7863,8220 is 3.
Lets's calculate LCM of 494,2088
| 2 | 494, 2088 |
| 247, 1044 |
∴ So the LCM of the given numbers is 2 x 247 x 1044 = 515736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/515736
Therefore, the GCF of Fractions 7863/494,8220/2088 is 3/515736
Least Common Multiple of 494,2088 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 494,2088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,2088) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,2088) x common factors =2 x 1 = 2
LCM(494,2088) = ( 494 × 2088 ) / 2
LCM(494,2088) = 1031472 / 2
LCM(494,2088) = 515736
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FAQs on GCF of Fractions of 7863/494, 8220/2088
1. What is the HCF of 7863,8220?
The HCF of 7863,8220 is 3
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 7863/494, 8220/2088?
Answer: GCF of Numerators as per given numbers 7863/494, 8220/2088 is
GCF of Numerators i.e. for 7863,8220 is 3
LCM of denominators i.e. for 494,2088 is 515736.
Thus, GCF of Fractions is 3/515736.Finally, GCF of Fractions for 7863/494, 8220/2088 is 3/515736.