GCF of 14/471, 818/291, 994/833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/471, 818/291, 994/833 i.e 2/38057271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/471, 818/291, 994/833.
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 14/471,818/291,994/833?
Given fractions are 14/471,818/291,994/833
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 14/471,818/291,994/833, numerators are 14,818,994
Denominators are 471,291,833
The GCF of 14,818,994 is 2 .
LCM of 471,291,833 is 38057271.
The greatest common factor of 14/471,818/291,994/833 = [GCF of 14,818,994]/[LCM of 471,291,833]= 2/38057271
Therefore, the GCF of 14/471,818/291,994/833 is 2/38057271.
To find the highest common factor of 14,818,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 818 are 1, 2, 409, 818
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 14,818,994 is 2.
Lets's calculate GCF of 14,818,994
| 2 | 14, 818, 994 |
| 7, 409, 497 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 14,818,994 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 818
:1,2,409,818
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 14,818,994 . The biggest common factor number is the GCF number.
So the greatest common factor 14,818,994 is 2.
Lets's calculate LCM of 471,291,833
| 3 | 471, 291, 833 |
| 157, 97, 833 |
∴ So the LCM of the given numbers is 3 x 157 x 97 x 833 = 38057271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38057271
Therefore, the GCF of Fractions 14/471,818/291,994/833 is 2/38057271
Least Common Multiple of 471,291,833 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 471,291,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,291,833) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(471,291,833) x common factors =1 x 3 = 3
LCM(471,291,833) = ( 471 × 291 × 833 ) / 3
LCM(471,291,833) = 114171813 / 3
LCM(471,291,833) = 38057271
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FAQs on GCF of Fractions of 14/471, 818/291, 994/833
1. What is the HCF of 14,818,994?
The HCF of 14,818,994 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 14/471, 818/291, 994/833?
Answer: GCF of Numerators as per given numbers 14/471, 818/291, 994/833 is
GCF of Numerators i.e. for 14,818,994 is 2
LCM of denominators i.e. for 471,291,833 is 38057271.
Thus, GCF of Fractions is 2/38057271.Finally, GCF of Fractions for 14/471, 818/291, 994/833 is 2/38057271.