GCF of 8363/117, 9446/3204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8363/117, 9446/3204 i.e 1/41652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8363/117, 9446/3204.
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 8363/117,9446/3204?
Given fractions are 8363/117,9446/3204
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 8363/117,9446/3204, numerators are 8363,9446
Denominators are 117,3204
The GCF of 8363,9446 is 1 .
LCM of 117,3204 is 41652.
The greatest common factor of 8363/117,9446/3204 = [GCF of 8363,9446]/[LCM of 117,3204]= 1/41652
Therefore, the GCF of 8363/117,9446/3204 is 1/41652.
To find the highest common factor of 8363,9446, we have to find the factors of both numbers and list the highest common factor.
The factors of 8363 are 1, 8363
The factors of 9446 are 1, 2, 4723, 9446
The HCF of 8363,9446 is 1.
Lets's calculate GCF of 8363,9446
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8363,9446 By Matching Biggest Common Factor Method
Now, list down the factors of 8363
:1,8363
Now, list down the factors of 9446
:1,2,4723,9446
Greatest Common Factor
We found the factors 8363,9446 . The biggest common factor number is the GCF number.
So the greatest common factor 8363,9446 is 1.
Lets's calculate LCM of 117,3204
| 3 | 117, 3204 |
| 3 | 39, 1068 |
| 13, 356 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 356 = 41652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41652
Therefore, the GCF of Fractions 8363/117,9446/3204 is 1/41652
Least Common Multiple of 117,3204 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 117,3204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,3204) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(117,3204) x common factors =9 x 1 = 9
LCM(117,3204) = ( 117 × 3204 ) / 9
LCM(117,3204) = 374868 / 9
LCM(117,3204) = 41652
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FAQs on GCF of Fractions of 8363/117, 9446/3204
1. What is the HCF of 8363,9446?
The HCF of 8363,9446 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 8363/117, 9446/3204?
Answer: GCF of Numerators as per given numbers 8363/117, 9446/3204 is
GCF of Numerators i.e. for 8363,9446 is 1
LCM of denominators i.e. for 117,3204 is 41652.
Thus, GCF of Fractions is 1/41652.Finally, GCF of Fractions for 8363/117, 9446/3204 is 1/41652.