GCF of 8031/704, 8806/6078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8031/704, 8806/6078 i.e 1/2139456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8031/704, 8806/6078.
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 8031/704,8806/6078?
Given fractions are 8031/704,8806/6078
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 8031/704,8806/6078, numerators are 8031,8806
Denominators are 704,6078
The GCF of 8031,8806 is 1 .
LCM of 704,6078 is 2139456.
The greatest common factor of 8031/704,8806/6078 = [GCF of 8031,8806]/[LCM of 704,6078]= 1/2139456
Therefore, the GCF of 8031/704,8806/6078 is 1/2139456.
To find the highest common factor of 8031,8806, we have to find the factors of both numbers and list the highest common factor.
The factors of 8031 are 1, 3, 2677, 8031
The factors of 8806 are 1, 2, 7, 14, 17, 34, 37, 74, 119, 238, 259, 518, 629, 1258, 4403, 8806
The HCF of 8031,8806 is 1.
Lets's calculate GCF of 8031,8806
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8031,8806 By Matching Biggest Common Factor Method
Now, list down the factors of 8031
:1,3,2677,8031
Now, list down the factors of 8806
:1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806
Greatest Common Factor
We found the factors 8031,8806 . The biggest common factor number is the GCF number.
So the greatest common factor 8031,8806 is 1.
Lets's calculate LCM of 704,6078
| 2 | 704, 6078 |
| 352, 3039 |
∴ So the LCM of the given numbers is 2 x 352 x 3039 = 2139456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2139456
Therefore, the GCF of Fractions 8031/704,8806/6078 is 1/2139456
Least Common Multiple of 704,6078 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 704,6078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,6078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(704,6078) x common factors =2 x 1 = 2
LCM(704,6078) = ( 704 × 6078 ) / 2
LCM(704,6078) = 4278912 / 2
LCM(704,6078) = 2139456
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FAQs on GCF of Fractions of 8031/704, 8806/6078
1. What is the HCF of 8031,8806?
The HCF of 8031,8806 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 8031/704, 8806/6078?
Answer: GCF of Numerators as per given numbers 8031/704, 8806/6078 is
GCF of Numerators i.e. for 8031,8806 is 1
LCM of denominators i.e. for 704,6078 is 2139456.
Thus, GCF of Fractions is 1/2139456.Finally, GCF of Fractions for 8031/704, 8806/6078 is 1/2139456.