GCF of 913/388, 286/447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 913/388, 286/447 i.e 11/173436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/388, 286/447.
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 913/388,286/447?
Given fractions are 913/388,286/447
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 913/388,286/447, numerators are 913,286
Denominators are 388,447
The GCF of 913,286 is 11 .
LCM of 388,447 is 173436.
The greatest common factor of 913/388,286/447 = [GCF of 913,286]/[LCM of 388,447]= 11/173436
Therefore, the GCF of 913/388,286/447 is 11/173436.
To find the highest common factor of 913,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 913,286 is 11.
Lets's calculate GCF of 913,286
| 11 | 913, 286 |
| 83, 26 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 913,286 By Matching Biggest Common Factor Method
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 913,286 . The biggest common factor number is the GCF number.
So the greatest common factor 913,286 is 11.
Lets's calculate LCM of 388,447
Given numbers has no common factors except 1. So, there LCM is their product i.e 173436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/173436
Therefore, the GCF of Fractions 913/388,286/447 is 11/173436
Least Common Multiple of 388,447 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 388,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(388,447) x common factors =1 x 1 = 1
LCM(388,447) = ( 388 × 447 ) / 1
LCM(388,447) = 173436 / 1
LCM(388,447) = 173436
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FAQs on GCF of Fractions of 913/388, 286/447
1. What is the HCF of 913,286?
The HCF of 913,286 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 913/388, 286/447?
Answer: GCF of Numerators as per given numbers 913/388, 286/447 is
GCF of Numerators i.e. for 913,286 is 11
LCM of denominators i.e. for 388,447 is 173436.
Thus, GCF of Fractions is 11/173436.Finally, GCF of Fractions for 913/388, 286/447 is 11/173436.