GCF of 9449/282, 3597/248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9449/282, 3597/248 i.e 11/34968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9449/282, 3597/248.
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 9449/282,3597/248?
Given fractions are 9449/282,3597/248
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 9449/282,3597/248, numerators are 9449,3597
Denominators are 282,248
The GCF of 9449,3597 is 11 .
LCM of 282,248 is 34968.
The greatest common factor of 9449/282,3597/248 = [GCF of 9449,3597]/[LCM of 282,248]= 11/34968
Therefore, the GCF of 9449/282,3597/248 is 11/34968.
To find the highest common factor of 9449,3597, we have to find the factors of both numbers and list the highest common factor.
The factors of 9449 are 1, 11, 859, 9449
The factors of 3597 are 1, 3, 11, 33, 109, 327, 1199, 3597
The HCF of 9449,3597 is 11.
Lets's calculate GCF of 9449,3597
| 11 | 9449, 3597 |
| 859, 327 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9449,3597 By Matching Biggest Common Factor Method
Now, list down the factors of 9449
:1,11,859,9449
Now, list down the factors of 3597
:1,3,11,33,109,327,1199,3597
Greatest Common Factor
We found the factors 9449,3597 . The biggest common factor number is the GCF number.
So the greatest common factor 9449,3597 is 11.
Lets's calculate LCM of 282,248
| 2 | 282, 248 |
| 141, 124 |
∴ So the LCM of the given numbers is 2 x 141 x 124 = 34968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/34968
Therefore, the GCF of Fractions 9449/282,3597/248 is 11/34968
Least Common Multiple of 282,248 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 282,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,248) x common factors =2 x 1 = 2
LCM(282,248) = ( 282 × 248 ) / 2
LCM(282,248) = 69936 / 2
LCM(282,248) = 34968
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9449/282, 3597/248
1. What is the HCF of 9449,3597?
The HCF of 9449,3597 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 9449/282, 3597/248?
Answer: GCF of Numerators as per given numbers 9449/282, 3597/248 is
GCF of Numerators i.e. for 9449,3597 is 11
LCM of denominators i.e. for 282,248 is 34968.
Thus, GCF of Fractions is 11/34968.Finally, GCF of Fractions for 9449/282, 3597/248 is 11/34968.