GCF of 9090/433, 1221/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9090/433, 1221/729 i.e 3/315657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9090/433, 1221/729.
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 9090/433,1221/729?
Given fractions are 9090/433,1221/729
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 9090/433,1221/729, numerators are 9090,1221
Denominators are 433,729
The GCF of 9090,1221 is 3 .
LCM of 433,729 is 315657.
The greatest common factor of 9090/433,1221/729 = [GCF of 9090,1221]/[LCM of 433,729]= 3/315657
Therefore, the GCF of 9090/433,1221/729 is 3/315657.
To find the highest common factor of 9090,1221, we have to find the factors of both numbers and list the highest common factor.
The factors of 9090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545, 9090
The factors of 1221 are 1, 3, 11, 33, 37, 111, 407, 1221
The HCF of 9090,1221 is 3.
Lets's calculate GCF of 9090,1221
| 3 | 9090, 1221 |
| 3030, 407 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9090,1221 By Matching Biggest Common Factor Method
Now, list down the factors of 9090
:1,2,3,5,6,9,10,15,18,30,45,90,101,202,303,505,606,909,1010,1515,1818,3030,4545,9090
Now, list down the factors of 1221
:1,3,11,33,37,111,407,1221
Greatest Common Factor
We found the factors 9090,1221 . The biggest common factor number is the GCF number.
So the greatest common factor 9090,1221 is 3.
Lets's calculate LCM of 433,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 315657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/315657
Therefore, the GCF of Fractions 9090/433,1221/729 is 3/315657
Least Common Multiple of 433,729 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 433,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,729) x common factors =1 x 1 = 1
LCM(433,729) = ( 433 × 729 ) / 1
LCM(433,729) = 315657 / 1
LCM(433,729) = 315657
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FAQs on GCF of Fractions of 9090/433, 1221/729
1. What is the HCF of 9090,1221?
The HCF of 9090,1221 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 9090/433, 1221/729?
Answer: GCF of Numerators as per given numbers 9090/433, 1221/729 is
GCF of Numerators i.e. for 9090,1221 is 3
LCM of denominators i.e. for 433,729 is 315657.
Thus, GCF of Fractions is 3/315657.Finally, GCF of Fractions for 9090/433, 1221/729 is 3/315657.