GCF of 8048/307, 9909/2925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8048/307, 9909/2925 i.e 1/897975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8048/307, 9909/2925.
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 8048/307,9909/2925?
Given fractions are 8048/307,9909/2925
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 8048/307,9909/2925, numerators are 8048,9909
Denominators are 307,2925
The GCF of 8048,9909 is 1 .
LCM of 307,2925 is 897975.
The greatest common factor of 8048/307,9909/2925 = [GCF of 8048,9909]/[LCM of 307,2925]= 1/897975
Therefore, the GCF of 8048/307,9909/2925 is 1/897975.
To find the highest common factor of 8048,9909, we have to find the factors of both numbers and list the highest common factor.
The factors of 8048 are 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048
The factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909
The HCF of 8048,9909 is 1.
Lets's calculate GCF of 8048,9909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8048,9909 By Matching Biggest Common Factor Method
Now, list down the factors of 8048
:1,2,4,8,16,503,1006,2012,4024,8048
Now, list down the factors of 9909
:1,3,9,27,367,1101,3303,9909
Greatest Common Factor
We found the factors 8048,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 8048,9909 is 1.
Lets's calculate LCM of 307,2925
Given numbers has no common factors except 1. So, there LCM is their product i.e 897975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/897975
Therefore, the GCF of Fractions 8048/307,9909/2925 is 1/897975
Least Common Multiple of 307,2925 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 307,2925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,2925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,2925) x common factors =1 x 1 = 1
LCM(307,2925) = ( 307 × 2925 ) / 1
LCM(307,2925) = 897975 / 1
LCM(307,2925) = 897975
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FAQs on GCF of Fractions of 8048/307, 9909/2925
1. What is the HCF of 8048,9909?
The HCF of 8048,9909 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 8048/307, 9909/2925?
Answer: GCF of Numerators as per given numbers 8048/307, 9909/2925 is
GCF of Numerators i.e. for 8048,9909 is 1
LCM of denominators i.e. for 307,2925 is 897975.
Thus, GCF of Fractions is 1/897975.Finally, GCF of Fractions for 8048/307, 9909/2925 is 1/897975.