GCF of 99/509, 66/291, 726/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/509, 66/291, 726/719 i.e 33/106497561 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/509, 66/291, 726/719.
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 99/509,66/291,726/719?
Given fractions are 99/509,66/291,726/719
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 99/509,66/291,726/719, numerators are 99,66,726
Denominators are 509,291,719
The GCF of 99,66,726 is 33 .
LCM of 509,291,719 is 106497561.
The greatest common factor of 99/509,66/291,726/719 = [GCF of 99,66,726]/[LCM of 509,291,719]= 33/106497561
Therefore, the GCF of 99/509,66/291,726/719 is 33/106497561.
To find the highest common factor of 99,66,726, 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 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The HCF of 99,66,726 is 33.
Lets's calculate GCF of 99,66,726
| 3 | 99, 66, 726 |
| 11 | 33, 22, 242 |
| 3, 2, 22 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 99,66,726 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 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 99,66,726 . The biggest common factor number is the GCF number.
So the greatest common factor 99,66,726 is 33.
Lets's calculate LCM of 509,291,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 106497561
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/106497561
Therefore, the GCF of Fractions 99/509,66/291,726/719 is 33/106497561
Least Common Multiple of 509,291,719 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 509,291,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,291,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,291,719) x common factors =1 x 1 = 1
LCM(509,291,719) = ( 509 × 291 × 719 ) / 1
LCM(509,291,719) = 106497561 / 1
LCM(509,291,719) = 106497561
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FAQs on GCF of Fractions of 99/509, 66/291, 726/719
1. What is the HCF of 99,66,726?
The HCF of 99,66,726 is 33
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 99/509, 66/291, 726/719?
Answer: GCF of Numerators as per given numbers 99/509, 66/291, 726/719 is
GCF of Numerators i.e. for 99,66,726 is 33
LCM of denominators i.e. for 509,291,719 is 106497561.
Thus, GCF of Fractions is 33/106497561.Finally, GCF of Fractions for 99/509, 66/291, 726/719 is 33/106497561.