GCF of 4284/336, 9337/5205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4284/336, 9337/5205 i.e 1/582960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4284/336, 9337/5205.
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 4284/336,9337/5205?
Given fractions are 4284/336,9337/5205
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 4284/336,9337/5205, numerators are 4284,9337
Denominators are 336,5205
The GCF of 4284,9337 is 1 .
LCM of 336,5205 is 582960.
The greatest common factor of 4284/336,9337/5205 = [GCF of 4284,9337]/[LCM of 336,5205]= 1/582960
Therefore, the GCF of 4284/336,9337/5205 is 1/582960.
To find the highest common factor of 4284,9337, we have to find the factors of both numbers and list the highest common factor.
The factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284
The factors of 9337 are 1, 9337
The HCF of 4284,9337 is 1.
Lets's calculate GCF of 4284,9337
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4284,9337 By Matching Biggest Common Factor Method
Now, list down the factors of 4284
:1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284
Now, list down the factors of 9337
:1,9337
Greatest Common Factor
We found the factors 4284,9337 . The biggest common factor number is the GCF number.
So the greatest common factor 4284,9337 is 1.
Lets's calculate LCM of 336,5205
| 3 | 336, 5205 |
| 112, 1735 |
∴ So the LCM of the given numbers is 3 x 112 x 1735 = 582960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582960
Therefore, the GCF of Fractions 4284/336,9337/5205 is 1/582960
Least Common Multiple of 336,5205 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 336,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,5205) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(336,5205) x common factors =3 x 1 = 3
LCM(336,5205) = ( 336 × 5205 ) / 3
LCM(336,5205) = 1748880 / 3
LCM(336,5205) = 582960
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FAQs on GCF of Fractions of 4284/336, 9337/5205
1. What is the HCF of 4284,9337?
The HCF of 4284,9337 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 4284/336, 9337/5205?
Answer: GCF of Numerators as per given numbers 4284/336, 9337/5205 is
GCF of Numerators i.e. for 4284,9337 is 1
LCM of denominators i.e. for 336,5205 is 582960.
Thus, GCF of Fractions is 1/582960.Finally, GCF of Fractions for 4284/336, 9337/5205 is 1/582960.