GCF of 9035/336, 9160/2740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9035/336, 9160/2740 i.e 5/230160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9035/336, 9160/2740.
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 9035/336,9160/2740?
Given fractions are 9035/336,9160/2740
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 9035/336,9160/2740, numerators are 9035,9160
Denominators are 336,2740
The GCF of 9035,9160 is 5 .
LCM of 336,2740 is 230160.
The greatest common factor of 9035/336,9160/2740 = [GCF of 9035,9160]/[LCM of 336,2740]= 5/230160
Therefore, the GCF of 9035/336,9160/2740 is 5/230160.
To find the highest common factor of 9035,9160, we have to find the factors of both numbers and list the highest common factor.
The factors of 9035 are 1, 5, 13, 65, 139, 695, 1807, 9035
The factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160
The HCF of 9035,9160 is 5.
Lets's calculate GCF of 9035,9160
| 5 | 9035, 9160 |
| 1807, 1832 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9035,9160 By Matching Biggest Common Factor Method
Now, list down the factors of 9035
:1,5,13,65,139,695,1807,9035
Now, list down the factors of 9160
:1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160
Greatest Common Factor
We found the factors 9035,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 9035,9160 is 5.
Lets's calculate LCM of 336,2740
| 2 | 336, 2740 |
| 2 | 168, 1370 |
| 84, 685 |
∴ So the LCM of the given numbers is 2 x 2 x 84 x 685 = 230160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/230160
Therefore, the GCF of Fractions 9035/336,9160/2740 is 5/230160
Least Common Multiple of 336,2740 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 336,2740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,2740) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(336,2740) x common factors =4 x 1 = 4
LCM(336,2740) = ( 336 × 2740 ) / 4
LCM(336,2740) = 920640 / 4
LCM(336,2740) = 230160
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FAQs on GCF of Fractions of 9035/336, 9160/2740
1. What is the HCF of 9035,9160?
The HCF of 9035,9160 is 5
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 9035/336, 9160/2740?
Answer: GCF of Numerators as per given numbers 9035/336, 9160/2740 is
GCF of Numerators i.e. for 9035,9160 is 5
LCM of denominators i.e. for 336,2740 is 230160.
Thus, GCF of Fractions is 5/230160.Finally, GCF of Fractions for 9035/336, 9160/2740 is 5/230160.