GCF of 8814/278, 4040/2866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8814/278, 4040/2866 i.e 2/398374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8814/278, 4040/2866.
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 8814/278,4040/2866?
Given fractions are 8814/278,4040/2866
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 8814/278,4040/2866, numerators are 8814,4040
Denominators are 278,2866
The GCF of 8814,4040 is 2 .
LCM of 278,2866 is 398374.
The greatest common factor of 8814/278,4040/2866 = [GCF of 8814,4040]/[LCM of 278,2866]= 2/398374
Therefore, the GCF of 8814/278,4040/2866 is 2/398374.
To find the highest common factor of 8814,4040, we have to find the factors of both numbers and list the highest common factor.
The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814
The factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040
The HCF of 8814,4040 is 2.
Lets's calculate GCF of 8814,4040
| 2 | 8814, 4040 |
| 4407, 2020 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8814,4040 By Matching Biggest Common Factor Method
Now, list down the factors of 8814
:1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Now, list down the factors of 4040
:1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040
Greatest Common Factor
We found the factors 8814,4040 . The biggest common factor number is the GCF number.
So the greatest common factor 8814,4040 is 2.
Lets's calculate LCM of 278,2866
| 2 | 278, 2866 |
| 139, 1433 |
∴ So the LCM of the given numbers is 2 x 139 x 1433 = 398374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/398374
Therefore, the GCF of Fractions 8814/278,4040/2866 is 2/398374
Least Common Multiple of 278,2866 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 278,2866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,2866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,2866) x common factors =2 x 1 = 2
LCM(278,2866) = ( 278 × 2866 ) / 2
LCM(278,2866) = 796748 / 2
LCM(278,2866) = 398374
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FAQs on GCF of Fractions of 8814/278, 4040/2866
1. What is the HCF of 8814,4040?
The HCF of 8814,4040 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 8814/278, 4040/2866?
Answer: GCF of Numerators as per given numbers 8814/278, 4040/2866 is
GCF of Numerators i.e. for 8814,4040 is 2
LCM of denominators i.e. for 278,2866 is 398374.
Thus, GCF of Fractions is 2/398374.Finally, GCF of Fractions for 8814/278, 4040/2866 is 2/398374.