GCF of 796/72, 300/27, 458/24
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 796/72, 300/27, 458/24 i.e 2/216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/72, 300/27, 458/24.
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 796/72,300/27,458/24?
Given fractions are 796/72,300/27,458/24
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 796/72,300/27,458/24, numerators are 796,300,458
Denominators are 72,27,24
The GCF of 796,300,458 is 2 .
LCM of 72,27,24 is 216.
The greatest common factor of 796/72,300/27,458/24 = [GCF of 796,300,458]/[LCM of 72,27,24]= 2/216
Therefore, the GCF of 796/72,300/27,458/24 is 2/216.
To find the highest common factor of 796,300,458, we have to find the factors of both numbers and list the highest common factor.
The factors of 796 are 1, 2, 4, 199, 398, 796
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The factors of 458 are 1, 2, 229, 458
The HCF of 796,300,458 is 2.
Lets's calculate GCF of 796,300,458
| 2 | 796, 300, 458 |
| 398, 150, 229 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 796,300,458 By Matching Biggest Common Factor Method
Now, list down the factors of 796
:1,2,4,199,398,796
Now, list down the factors of 300
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 796,300,458 . The biggest common factor number is the GCF number.
So the greatest common factor 796,300,458 is 2.
Lets's calculate LCM of 72,27,24
| 2 | 72, 27, 24 |
| 2 | 36, 27, 12 |
| 2 | 18, 27, 6 |
| 3 | 9, 27, 3 |
| 3 | 1, 9, 3 |
| 1, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 1 x 3 = 216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/216
Therefore, the GCF of Fractions 796/72,300/27,458/24 is 2/216
Least Common Multiple of 72,27,24 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 72,27,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,27,24) = 3
common factors(in case of two or more numbers have common factors) = 72
GCF(72,27,24) x common factors =3 x 72 = 216
LCM(72,27,24) = ( 72 × 27 × 24 ) / 216
LCM(72,27,24) = 46656 / 216
LCM(72,27,24) = 216
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FAQs on GCF of Fractions of 796/72, 300/27, 458/24
1. What is the HCF of 796,300,458?
The HCF of 796,300,458 is 2
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 796/72, 300/27, 458/24?
Answer: GCF of Numerators as per given numbers 796/72, 300/27, 458/24 is
GCF of Numerators i.e. for 796,300,458 is 2
LCM of denominators i.e. for 72,27,24 is 216.
Thus, GCF of Fractions is 2/216.Finally, GCF of Fractions for 796/72, 300/27, 458/24 is 2/216.