GCF of 9664/313, 7166/7638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9664/313, 7166/7638 i.e 2/2390694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9664/313, 7166/7638.
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 9664/313,7166/7638?
Given fractions are 9664/313,7166/7638
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 9664/313,7166/7638, numerators are 9664,7166
Denominators are 313,7638
The GCF of 9664,7166 is 2 .
LCM of 313,7638 is 2390694.
The greatest common factor of 9664/313,7166/7638 = [GCF of 9664,7166]/[LCM of 313,7638]= 2/2390694
Therefore, the GCF of 9664/313,7166/7638 is 2/2390694.
To find the highest common factor of 9664,7166, we have to find the factors of both numbers and list the highest common factor.
The factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664
The factors of 7166 are 1, 2, 3583, 7166
The HCF of 9664,7166 is 2.
Lets's calculate GCF of 9664,7166
| 2 | 9664, 7166 |
| 4832, 3583 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9664,7166 By Matching Biggest Common Factor Method
Now, list down the factors of 9664
:1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Now, list down the factors of 7166
:1,2,3583,7166
Greatest Common Factor
We found the factors 9664,7166 . The biggest common factor number is the GCF number.
So the greatest common factor 9664,7166 is 2.
Lets's calculate LCM of 313,7638
Given numbers has no common factors except 1. So, there LCM is their product i.e 2390694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2390694
Therefore, the GCF of Fractions 9664/313,7166/7638 is 2/2390694
Least Common Multiple of 313,7638 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 313,7638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,7638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,7638) x common factors =1 x 1 = 1
LCM(313,7638) = ( 313 × 7638 ) / 1
LCM(313,7638) = 2390694 / 1
LCM(313,7638) = 2390694
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FAQs on GCF of Fractions of 9664/313, 7166/7638
1. What is the HCF of 9664,7166?
The HCF of 9664,7166 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 9664/313, 7166/7638?
Answer: GCF of Numerators as per given numbers 9664/313, 7166/7638 is
GCF of Numerators i.e. for 9664,7166 is 2
LCM of denominators i.e. for 313,7638 is 2390694.
Thus, GCF of Fractions is 2/2390694.Finally, GCF of Fractions for 9664/313, 7166/7638 is 2/2390694.