GCF of 8279/202, 6325/8298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8279/202, 6325/8298 i.e 1/838098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8279/202, 6325/8298.
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 8279/202,6325/8298?
Given fractions are 8279/202,6325/8298
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 8279/202,6325/8298, numerators are 8279,6325
Denominators are 202,8298
The GCF of 8279,6325 is 1 .
LCM of 202,8298 is 838098.
The greatest common factor of 8279/202,6325/8298 = [GCF of 8279,6325]/[LCM of 202,8298]= 1/838098
Therefore, the GCF of 8279/202,6325/8298 is 1/838098.
To find the highest common factor of 8279,6325, we have to find the factors of both numbers and list the highest common factor.
The factors of 8279 are 1, 17, 487, 8279
The factors of 6325 are 1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325
The HCF of 8279,6325 is 1.
Lets's calculate GCF of 8279,6325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8279,6325 By Matching Biggest Common Factor Method
Now, list down the factors of 8279
:1,17,487,8279
Now, list down the factors of 6325
:1,5,11,23,25,55,115,253,275,575,1265,6325
Greatest Common Factor
We found the factors 8279,6325 . The biggest common factor number is the GCF number.
So the greatest common factor 8279,6325 is 1.
Lets's calculate LCM of 202,8298
| 2 | 202, 8298 |
| 101, 4149 |
∴ So the LCM of the given numbers is 2 x 101 x 4149 = 838098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/838098
Therefore, the GCF of Fractions 8279/202,6325/8298 is 1/838098
Least Common Multiple of 202,8298 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 202,8298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,8298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,8298) x common factors =2 x 1 = 2
LCM(202,8298) = ( 202 × 8298 ) / 2
LCM(202,8298) = 1676196 / 2
LCM(202,8298) = 838098
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FAQs on GCF of Fractions of 8279/202, 6325/8298
1. What is the HCF of 8279,6325?
The HCF of 8279,6325 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 8279/202, 6325/8298?
Answer: GCF of Numerators as per given numbers 8279/202, 6325/8298 is
GCF of Numerators i.e. for 8279,6325 is 1
LCM of denominators i.e. for 202,8298 is 838098.
Thus, GCF of Fractions is 1/838098.Finally, GCF of Fractions for 8279/202, 6325/8298 is 1/838098.