GCF of 8267/405, 9708/8337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8267/405, 9708/8337 i.e 1/1125495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8267/405, 9708/8337.
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 8267/405,9708/8337?
Given fractions are 8267/405,9708/8337
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 8267/405,9708/8337, numerators are 8267,9708
Denominators are 405,8337
The GCF of 8267,9708 is 1 .
LCM of 405,8337 is 1125495.
The greatest common factor of 8267/405,9708/8337 = [GCF of 8267,9708]/[LCM of 405,8337]= 1/1125495
Therefore, the GCF of 8267/405,9708/8337 is 1/1125495.
To find the highest common factor of 8267,9708, we have to find the factors of both numbers and list the highest common factor.
The factors of 8267 are 1, 7, 1181, 8267
The factors of 9708 are 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708
The HCF of 8267,9708 is 1.
Lets's calculate GCF of 8267,9708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8267,9708 By Matching Biggest Common Factor Method
Now, list down the factors of 8267
:1,7,1181,8267
Now, list down the factors of 9708
:1,2,3,4,6,12,809,1618,2427,3236,4854,9708
Greatest Common Factor
We found the factors 8267,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 8267,9708 is 1.
Lets's calculate LCM of 405,8337
| 3 | 405, 8337 |
| 135, 2779 |
∴ So the LCM of the given numbers is 3 x 135 x 2779 = 1125495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1125495
Therefore, the GCF of Fractions 8267/405,9708/8337 is 1/1125495
Least Common Multiple of 405,8337 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 405,8337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,8337) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(405,8337) x common factors =3 x 1 = 3
LCM(405,8337) = ( 405 × 8337 ) / 3
LCM(405,8337) = 3376485 / 3
LCM(405,8337) = 1125495
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FAQs on GCF of Fractions of 8267/405, 9708/8337
1. What is the HCF of 8267,9708?
The HCF of 8267,9708 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 8267/405, 9708/8337?
Answer: GCF of Numerators as per given numbers 8267/405, 9708/8337 is
GCF of Numerators i.e. for 8267,9708 is 1
LCM of denominators i.e. for 405,8337 is 1125495.
Thus, GCF of Fractions is 1/1125495.Finally, GCF of Fractions for 8267/405, 9708/8337 is 1/1125495.