GCF of 293/12, 415/30, 263/15
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 293/12, 415/30, 263/15 i.e 1/60 easily. The following is the detailed procedure to determine the greatest common factor of fractions 293/12, 415/30, 263/15.
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 293/12,415/30,263/15?
Given fractions are 293/12,415/30,263/15
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 293/12,415/30,263/15, numerators are 293,415,263
Denominators are 12,30,15
The GCF of 293,415,263 is 1 .
LCM of 12,30,15 is 60.
The greatest common factor of 293/12,415/30,263/15 = [GCF of 293,415,263]/[LCM of 12,30,15]= 1/60
Therefore, the GCF of 293/12,415/30,263/15 is 1/60.
To find the highest common factor of 293,415,263, we have to find the factors of both numbers and list the highest common factor.
The factors of 293 are 1, 293
The factors of 415 are 1, 5, 83, 415
The factors of 263 are 1, 263
The HCF of 293,415,263 is 1.
Lets's calculate GCF of 293,415,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 293,415,263 By Matching Biggest Common Factor Method
Now, list down the factors of 293
:1,293
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 263
:1,263
Greatest Common Factor
We found the factors 293,415,263 . The biggest common factor number is the GCF number.
So the greatest common factor 293,415,263 is 1.
Lets's calculate LCM of 12,30,15
| 2 | 12, 30, 15 |
| 3 | 6, 15, 15 |
| 5 | 2, 5, 5 |
| 2, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 1 x 1 = 60
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60
Therefore, the GCF of Fractions 293/12,415/30,263/15 is 1/60
Least Common Multiple of 12,30,15 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 12,30,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,30,15) = 3
common factors(in case of two or more numbers have common factors) = 30
GCF(12,30,15) x common factors =3 x 30 = 90
LCM(12,30,15) = ( 12 × 30 × 15 ) / 90
LCM(12,30,15) = 5400 / 90
LCM(12,30,15) = 60
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FAQs on GCF of Fractions of 293/12, 415/30, 263/15
1. What is the HCF of 293,415,263?
The HCF of 293,415,263 is 1
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 293/12, 415/30, 263/15?
Answer: GCF of Numerators as per given numbers 293/12, 415/30, 263/15 is
GCF of Numerators i.e. for 293,415,263 is 1
LCM of denominators i.e. for 12,30,15 is 60.
Thus, GCF of Fractions is 1/60.Finally, GCF of Fractions for 293/12, 415/30, 263/15 is 1/60.