GCF of 8038/248, 9471/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8038/248, 9471/700 i.e 1/43400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8038/248, 9471/700.
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 8038/248,9471/700?
Given fractions are 8038/248,9471/700
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 8038/248,9471/700, numerators are 8038,9471
Denominators are 248,700
The GCF of 8038,9471 is 1 .
LCM of 248,700 is 43400.
The greatest common factor of 8038/248,9471/700 = [GCF of 8038,9471]/[LCM of 248,700]= 1/43400
Therefore, the GCF of 8038/248,9471/700 is 1/43400.
To find the highest common factor of 8038,9471, we have to find the factors of both numbers and list the highest common factor.
The factors of 8038 are 1, 2, 4019, 8038
The factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471
The HCF of 8038,9471 is 1.
Lets's calculate GCF of 8038,9471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8038,9471 By Matching Biggest Common Factor Method
Now, list down the factors of 8038
:1,2,4019,8038
Now, list down the factors of 9471
:1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Greatest Common Factor
We found the factors 8038,9471 . The biggest common factor number is the GCF number.
So the greatest common factor 8038,9471 is 1.
Lets's calculate LCM of 248,700
| 2 | 248, 700 |
| 2 | 124, 350 |
| 62, 175 |
∴ So the LCM of the given numbers is 2 x 2 x 62 x 175 = 43400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43400
Therefore, the GCF of Fractions 8038/248,9471/700 is 1/43400
Least Common Multiple of 248,700 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 248,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,700) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(248,700) x common factors =4 x 1 = 4
LCM(248,700) = ( 248 × 700 ) / 4
LCM(248,700) = 173600 / 4
LCM(248,700) = 43400
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FAQs on GCF of Fractions of 8038/248, 9471/700
1. What is the HCF of 8038,9471?
The HCF of 8038,9471 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 8038/248, 9471/700?
Answer: GCF of Numerators as per given numbers 8038/248, 9471/700 is
GCF of Numerators i.e. for 8038,9471 is 1
LCM of denominators i.e. for 248,700 is 43400.
Thus, GCF of Fractions is 1/43400.Finally, GCF of Fractions for 8038/248, 9471/700 is 1/43400.