GCF of 404/99, 918/9254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 404/99, 918/9254 i.e 2/916146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/99, 918/9254.
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 404/99,918/9254?
Given fractions are 404/99,918/9254
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 404/99,918/9254, numerators are 404,918
Denominators are 99,9254
The GCF of 404,918 is 2 .
LCM of 99,9254 is 916146.
The greatest common factor of 404/99,918/9254 = [GCF of 404,918]/[LCM of 99,9254]= 2/916146
Therefore, the GCF of 404/99,918/9254 is 2/916146.
To find the highest common factor of 404,918, we have to find the factors of both numbers and list the highest common factor.
The factors of 404 are 1, 2, 4, 101, 202, 404
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The HCF of 404,918 is 2.
Lets's calculate GCF of 404,918
| 2 | 404, 918 |
| 202, 459 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 404,918 By Matching Biggest Common Factor Method
Now, list down the factors of 404
:1,2,4,101,202,404
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 404,918 . The biggest common factor number is the GCF number.
So the greatest common factor 404,918 is 2.
Lets's calculate LCM of 99,9254
Given numbers has no common factors except 1. So, there LCM is their product i.e 916146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/916146
Therefore, the GCF of Fractions 404/99,918/9254 is 2/916146
Least Common Multiple of 99,9254 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 99,9254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,9254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,9254) x common factors =1 x 1 = 1
LCM(99,9254) = ( 99 × 9254 ) / 1
LCM(99,9254) = 916146 / 1
LCM(99,9254) = 916146
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FAQs on GCF of Fractions of 404/99, 918/9254
1. What is the HCF of 404,918?
The HCF of 404,918 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 404/99, 918/9254?
Answer: GCF of Numerators as per given numbers 404/99, 918/9254 is
GCF of Numerators i.e. for 404,918 is 2
LCM of denominators i.e. for 99,9254 is 916146.
Thus, GCF of Fractions is 2/916146.Finally, GCF of Fractions for 404/99, 918/9254 is 2/916146.