GCF of 99/29, 18/40, 471/49
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/29, 18/40, 471/49 i.e 3/56840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/29, 18/40, 471/49.
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 99/29,18/40,471/49?
Given fractions are 99/29,18/40,471/49
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 99/29,18/40,471/49, numerators are 99,18,471
Denominators are 29,40,49
The GCF of 99,18,471 is 3 .
LCM of 29,40,49 is 56840.
The greatest common factor of 99/29,18/40,471/49 = [GCF of 99,18,471]/[LCM of 29,40,49]= 3/56840
Therefore, the GCF of 99/29,18/40,471/49 is 3/56840.
To find the highest common factor of 99,18,471, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 471 are 1, 3, 157, 471
The HCF of 99,18,471 is 3.
Lets's calculate GCF of 99,18,471
| 3 | 99, 18, 471 |
| 33, 6, 157 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 99,18,471 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 471
:1,3,157,471
Greatest Common Factor
We found the factors 99,18,471 . The biggest common factor number is the GCF number.
So the greatest common factor 99,18,471 is 3.
Lets's calculate LCM of 29,40,49
Given numbers has no common factors except 1. So, there LCM is their product i.e 56840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/56840
Therefore, the GCF of Fractions 99/29,18/40,471/49 is 3/56840
Least Common Multiple of 29,40,49 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 29,40,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,40,49) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,40,49) x common factors =1 x 1 = 1
LCM(29,40,49) = ( 29 × 40 × 49 ) / 1
LCM(29,40,49) = 56840 / 1
LCM(29,40,49) = 56840
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FAQs on GCF of Fractions of 99/29, 18/40, 471/49
1. What is the HCF of 99,18,471?
The HCF of 99,18,471 is 3
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 99/29, 18/40, 471/49?
Answer: GCF of Numerators as per given numbers 99/29, 18/40, 471/49 is
GCF of Numerators i.e. for 99,18,471 is 3
LCM of denominators i.e. for 29,40,49 is 56840.
Thus, GCF of Fractions is 3/56840.Finally, GCF of Fractions for 99/29, 18/40, 471/49 is 3/56840.