GCF of 9339/490, 2915/358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9339/490, 2915/358 i.e 11/87710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9339/490, 2915/358.
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 9339/490,2915/358?
Given fractions are 9339/490,2915/358
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 9339/490,2915/358, numerators are 9339,2915
Denominators are 490,358
The GCF of 9339,2915 is 11 .
LCM of 490,358 is 87710.
The greatest common factor of 9339/490,2915/358 = [GCF of 9339,2915]/[LCM of 490,358]= 11/87710
Therefore, the GCF of 9339/490,2915/358 is 11/87710.
To find the highest common factor of 9339,2915, we have to find the factors of both numbers and list the highest common factor.
The factors of 9339 are 1, 3, 11, 33, 283, 849, 3113, 9339
The factors of 2915 are 1, 5, 11, 53, 55, 265, 583, 2915
The HCF of 9339,2915 is 11.
Lets's calculate GCF of 9339,2915
| 11 | 9339, 2915 |
| 849, 265 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9339,2915 By Matching Biggest Common Factor Method
Now, list down the factors of 9339
:1,3,11,33,283,849,3113,9339
Now, list down the factors of 2915
:1,5,11,53,55,265,583,2915
Greatest Common Factor
We found the factors 9339,2915 . The biggest common factor number is the GCF number.
So the greatest common factor 9339,2915 is 11.
Lets's calculate LCM of 490,358
| 2 | 490, 358 |
| 245, 179 |
∴ So the LCM of the given numbers is 2 x 245 x 179 = 87710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/87710
Therefore, the GCF of Fractions 9339/490,2915/358 is 11/87710
Least Common Multiple of 490,358 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 490,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,358) x common factors =2 x 1 = 2
LCM(490,358) = ( 490 × 358 ) / 2
LCM(490,358) = 175420 / 2
LCM(490,358) = 87710
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9339/490, 2915/358
1. What is the HCF of 9339,2915?
The HCF of 9339,2915 is 11
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 9339/490, 2915/358?
Answer: GCF of Numerators as per given numbers 9339/490, 2915/358 is
GCF of Numerators i.e. for 9339,2915 is 11
LCM of denominators i.e. for 490,358 is 87710.
Thus, GCF of Fractions is 11/87710.Finally, GCF of Fractions for 9339/490, 2915/358 is 11/87710.