GCF of 9708/307, 7533/7312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9708/307, 7533/7312 i.e 3/2244784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9708/307, 7533/7312.
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 9708/307,7533/7312?
Given fractions are 9708/307,7533/7312
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 9708/307,7533/7312, numerators are 9708,7533
Denominators are 307,7312
The GCF of 9708,7533 is 3 .
LCM of 307,7312 is 2244784.
The greatest common factor of 9708/307,7533/7312 = [GCF of 9708,7533]/[LCM of 307,7312]= 3/2244784
Therefore, the GCF of 9708/307,7533/7312 is 3/2244784.
To find the highest common factor of 9708,7533, we have to find the factors of both numbers and list the highest common factor.
The factors of 9708 are 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708
The factors of 7533 are 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533
The HCF of 9708,7533 is 3.
Lets's calculate GCF of 9708,7533
| 3 | 9708, 7533 |
| 3236, 2511 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9708,7533 By Matching Biggest Common Factor Method
Now, list down the factors of 9708
:1,2,3,4,6,12,809,1618,2427,3236,4854,9708
Now, list down the factors of 7533
:1,3,9,27,31,81,93,243,279,837,2511,7533
Greatest Common Factor
We found the factors 9708,7533 . The biggest common factor number is the GCF number.
So the greatest common factor 9708,7533 is 3.
Lets's calculate LCM of 307,7312
Given numbers has no common factors except 1. So, there LCM is their product i.e 2244784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2244784
Therefore, the GCF of Fractions 9708/307,7533/7312 is 3/2244784
Least Common Multiple of 307,7312 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 307,7312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,7312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,7312) x common factors =1 x 1 = 1
LCM(307,7312) = ( 307 × 7312 ) / 1
LCM(307,7312) = 2244784 / 1
LCM(307,7312) = 2244784
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FAQs on GCF of Fractions of 9708/307, 7533/7312
1. What is the HCF of 9708,7533?
The HCF of 9708,7533 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 9708/307, 7533/7312?
Answer: GCF of Numerators as per given numbers 9708/307, 7533/7312 is
GCF of Numerators i.e. for 9708,7533 is 3
LCM of denominators i.e. for 307,7312 is 2244784.
Thus, GCF of Fractions is 3/2244784.Finally, GCF of Fractions for 9708/307, 7533/7312 is 3/2244784.