GCF of 9308/332, 5399/1871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9308/332, 5399/1871 i.e 1/621172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9308/332, 5399/1871.
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 9308/332,5399/1871?
Given fractions are 9308/332,5399/1871
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 9308/332,5399/1871, numerators are 9308,5399
Denominators are 332,1871
The GCF of 9308,5399 is 1 .
LCM of 332,1871 is 621172.
The greatest common factor of 9308/332,5399/1871 = [GCF of 9308,5399]/[LCM of 332,1871]= 1/621172
Therefore, the GCF of 9308/332,5399/1871 is 1/621172.
To find the highest common factor of 9308,5399, we have to find the factors of both numbers and list the highest common factor.
The factors of 9308 are 1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308
The factors of 5399 are 1, 5399
The HCF of 9308,5399 is 1.
Lets's calculate GCF of 9308,5399
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9308,5399 By Matching Biggest Common Factor Method
Now, list down the factors of 9308
:1,2,4,13,26,52,179,358,716,2327,4654,9308
Now, list down the factors of 5399
:1,5399
Greatest Common Factor
We found the factors 9308,5399 . The biggest common factor number is the GCF number.
So the greatest common factor 9308,5399 is 1.
Lets's calculate LCM of 332,1871
Given numbers has no common factors except 1. So, there LCM is their product i.e 621172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621172
Therefore, the GCF of Fractions 9308/332,5399/1871 is 1/621172
Least Common Multiple of 332,1871 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 332,1871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,1871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,1871) x common factors =1 x 1 = 1
LCM(332,1871) = ( 332 × 1871 ) / 1
LCM(332,1871) = 621172 / 1
LCM(332,1871) = 621172
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FAQs on GCF of Fractions of 9308/332, 5399/1871
1. What is the HCF of 9308,5399?
The HCF of 9308,5399 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 9308/332, 5399/1871?
Answer: GCF of Numerators as per given numbers 9308/332, 5399/1871 is
GCF of Numerators i.e. for 9308,5399 is 1
LCM of denominators i.e. for 332,1871 is 621172.
Thus, GCF of Fractions is 1/621172.Finally, GCF of Fractions for 9308/332, 5399/1871 is 1/621172.