GCF of 6159/394, 9735/6310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6159/394, 9735/6310 i.e 3/1243070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6159/394, 9735/6310.
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 6159/394,9735/6310?
Given fractions are 6159/394,9735/6310
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 6159/394,9735/6310, numerators are 6159,9735
Denominators are 394,6310
The GCF of 6159,9735 is 3 .
LCM of 394,6310 is 1243070.
The greatest common factor of 6159/394,9735/6310 = [GCF of 6159,9735]/[LCM of 394,6310]= 3/1243070
Therefore, the GCF of 6159/394,9735/6310 is 3/1243070.
To find the highest common factor of 6159,9735, we have to find the factors of both numbers and list the highest common factor.
The factors of 6159 are 1, 3, 2053, 6159
The factors of 9735 are 1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735
The HCF of 6159,9735 is 3.
Lets's calculate GCF of 6159,9735
| 3 | 6159, 9735 |
| 2053, 3245 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6159,9735 By Matching Biggest Common Factor Method
Now, list down the factors of 6159
:1,3,2053,6159
Now, list down the factors of 9735
:1,3,5,11,15,33,55,59,165,177,295,649,885,1947,3245,9735
Greatest Common Factor
We found the factors 6159,9735 . The biggest common factor number is the GCF number.
So the greatest common factor 6159,9735 is 3.
Lets's calculate LCM of 394,6310
| 2 | 394, 6310 |
| 197, 3155 |
∴ So the LCM of the given numbers is 2 x 197 x 3155 = 1243070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1243070
Therefore, the GCF of Fractions 6159/394,9735/6310 is 3/1243070
Least Common Multiple of 394,6310 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 394,6310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,6310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,6310) x common factors =2 x 1 = 2
LCM(394,6310) = ( 394 × 6310 ) / 2
LCM(394,6310) = 2486140 / 2
LCM(394,6310) = 1243070
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FAQs on GCF of Fractions of 6159/394, 9735/6310
1. What is the HCF of 6159,9735?
The HCF of 6159,9735 is 3
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 6159/394, 9735/6310?
Answer: GCF of Numerators as per given numbers 6159/394, 9735/6310 is
GCF of Numerators i.e. for 6159,9735 is 3
LCM of denominators i.e. for 394,6310 is 1243070.
Thus, GCF of Fractions is 3/1243070.Finally, GCF of Fractions for 6159/394, 9735/6310 is 3/1243070.