GCF of 9335/120, 8203/6717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9335/120, 8203/6717 i.e 1/268680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9335/120, 8203/6717.
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 9335/120,8203/6717?
Given fractions are 9335/120,8203/6717
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 9335/120,8203/6717, numerators are 9335,8203
Denominators are 120,6717
The GCF of 9335,8203 is 1 .
LCM of 120,6717 is 268680.
The greatest common factor of 9335/120,8203/6717 = [GCF of 9335,8203]/[LCM of 120,6717]= 1/268680
Therefore, the GCF of 9335/120,8203/6717 is 1/268680.
To find the highest common factor of 9335,8203, we have to find the factors of both numbers and list the highest common factor.
The factors of 9335 are 1, 5, 1867, 9335
The factors of 8203 are 1, 13, 631, 8203
The HCF of 9335,8203 is 1.
Lets's calculate GCF of 9335,8203
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9335,8203 By Matching Biggest Common Factor Method
Now, list down the factors of 9335
:1,5,1867,9335
Now, list down the factors of 8203
:1,13,631,8203
Greatest Common Factor
We found the factors 9335,8203 . The biggest common factor number is the GCF number.
So the greatest common factor 9335,8203 is 1.
Lets's calculate LCM of 120,6717
| 3 | 120, 6717 |
| 40, 2239 |
∴ So the LCM of the given numbers is 3 x 40 x 2239 = 268680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268680
Therefore, the GCF of Fractions 9335/120,8203/6717 is 1/268680
Least Common Multiple of 120,6717 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 120,6717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,6717) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(120,6717) x common factors =3 x 1 = 3
LCM(120,6717) = ( 120 × 6717 ) / 3
LCM(120,6717) = 806040 / 3
LCM(120,6717) = 268680
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FAQs on GCF of Fractions of 9335/120, 8203/6717
1. What is the HCF of 9335,8203?
The HCF of 9335,8203 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 9335/120, 8203/6717?
Answer: GCF of Numerators as per given numbers 9335/120, 8203/6717 is
GCF of Numerators i.e. for 9335,8203 is 1
LCM of denominators i.e. for 120,6717 is 268680.
Thus, GCF of Fractions is 1/268680.Finally, GCF of Fractions for 9335/120, 8203/6717 is 1/268680.