GCF of 8899/342, 9913/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8899/342, 9913/189 i.e 1/7182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8899/342, 9913/189.
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 8899/342,9913/189?
Given fractions are 8899/342,9913/189
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 8899/342,9913/189, numerators are 8899,9913
Denominators are 342,189
The GCF of 8899,9913 is 1 .
LCM of 342,189 is 7182.
The greatest common factor of 8899/342,9913/189 = [GCF of 8899,9913]/[LCM of 342,189]= 1/7182
Therefore, the GCF of 8899/342,9913/189 is 1/7182.
To find the highest common factor of 8899,9913, we have to find the factors of both numbers and list the highest common factor.
The factors of 8899 are 1, 11, 809, 8899
The factors of 9913 are 1, 23, 431, 9913
The HCF of 8899,9913 is 1.
Lets's calculate GCF of 8899,9913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8899,9913 By Matching Biggest Common Factor Method
Now, list down the factors of 8899
:1,11,809,8899
Now, list down the factors of 9913
:1,23,431,9913
Greatest Common Factor
We found the factors 8899,9913 . The biggest common factor number is the GCF number.
So the greatest common factor 8899,9913 is 1.
Lets's calculate LCM of 342,189
| 3 | 342, 189 |
| 3 | 114, 63 |
| 38, 21 |
∴ So the LCM of the given numbers is 3 x 3 x 38 x 21 = 7182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7182
Therefore, the GCF of Fractions 8899/342,9913/189 is 1/7182
Least Common Multiple of 342,189 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 342,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,189) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(342,189) x common factors =9 x 1 = 9
LCM(342,189) = ( 342 × 189 ) / 9
LCM(342,189) = 64638 / 9
LCM(342,189) = 7182
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FAQs on GCF of Fractions of 8899/342, 9913/189
1. What is the HCF of 8899,9913?
The HCF of 8899,9913 is 1
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 8899/342, 9913/189?
Answer: GCF of Numerators as per given numbers 8899/342, 9913/189 is
GCF of Numerators i.e. for 8899,9913 is 1
LCM of denominators i.e. for 342,189 is 7182.
Thus, GCF of Fractions is 1/7182.Finally, GCF of Fractions for 8899/342, 9913/189 is 1/7182.