GCF of 8838/615, 4039/9840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8838/615, 4039/9840 i.e 1/9840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8838/615, 4039/9840.
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 8838/615,4039/9840?
Given fractions are 8838/615,4039/9840
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 8838/615,4039/9840, numerators are 8838,4039
Denominators are 615,9840
The GCF of 8838,4039 is 1 .
LCM of 615,9840 is 9840.
The greatest common factor of 8838/615,4039/9840 = [GCF of 8838,4039]/[LCM of 615,9840]= 1/9840
Therefore, the GCF of 8838/615,4039/9840 is 1/9840.
To find the highest common factor of 8838,4039, we have to find the factors of both numbers and list the highest common factor.
The factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838
The factors of 4039 are 1, 7, 577, 4039
The HCF of 8838,4039 is 1.
Lets's calculate GCF of 8838,4039
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8838,4039 By Matching Biggest Common Factor Method
Now, list down the factors of 8838
:1,2,3,6,9,18,491,982,1473,2946,4419,8838
Now, list down the factors of 4039
:1,7,577,4039
Greatest Common Factor
We found the factors 8838,4039 . The biggest common factor number is the GCF number.
So the greatest common factor 8838,4039 is 1.
Lets's calculate LCM of 615,9840
| 3 | 615, 9840 |
| 5 | 205, 3280 |
| 41 | 41, 656 |
| 1, 16 |
∴ So the LCM of the given numbers is 3 x 5 x 41 x 1 x 16 = 9840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9840
Therefore, the GCF of Fractions 8838/615,4039/9840 is 1/9840
Least Common Multiple of 615,9840 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 615,9840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,9840) = 615
common factors(in case of two or more numbers have common factors) = 1
GCF(615,9840) x common factors =615 x 1 = 615
LCM(615,9840) = ( 615 × 9840 ) / 615
LCM(615,9840) = 6051600 / 615
LCM(615,9840) = 9840
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FAQs on GCF of Fractions of 8838/615, 4039/9840
1. What is the HCF of 8838,4039?
The HCF of 8838,4039 is 1
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 8838/615, 4039/9840?
Answer: GCF of Numerators as per given numbers 8838/615, 4039/9840 is
GCF of Numerators i.e. for 8838,4039 is 1
LCM of denominators i.e. for 615,9840 is 9840.
Thus, GCF of Fractions is 1/9840.Finally, GCF of Fractions for 8838/615, 4039/9840 is 1/9840.