GCF of 9681/632, 6916/138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9681/632, 6916/138 i.e 7/43608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9681/632, 6916/138.
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 9681/632,6916/138?
Given fractions are 9681/632,6916/138
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 9681/632,6916/138, numerators are 9681,6916
Denominators are 632,138
The GCF of 9681,6916 is 7 .
LCM of 632,138 is 43608.
The greatest common factor of 9681/632,6916/138 = [GCF of 9681,6916]/[LCM of 632,138]= 7/43608
Therefore, the GCF of 9681/632,6916/138 is 7/43608.
To find the highest common factor of 9681,6916, we have to find the factors of both numbers and list the highest common factor.
The factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681
The factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916
The HCF of 9681,6916 is 7.
Lets's calculate GCF of 9681,6916
| 7 | 9681, 6916 |
| 1383, 988 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9681,6916 By Matching Biggest Common Factor Method
Now, list down the factors of 9681
:1,3,7,21,461,1383,3227,9681
Now, list down the factors of 6916
:1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916
Greatest Common Factor
We found the factors 9681,6916 . The biggest common factor number is the GCF number.
So the greatest common factor 9681,6916 is 7.
Lets's calculate LCM of 632,138
| 2 | 632, 138 |
| 316, 69 |
∴ So the LCM of the given numbers is 2 x 316 x 69 = 43608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/43608
Therefore, the GCF of Fractions 9681/632,6916/138 is 7/43608
Least Common Multiple of 632,138 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 632,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(632,138) x common factors =2 x 1 = 2
LCM(632,138) = ( 632 × 138 ) / 2
LCM(632,138) = 87216 / 2
LCM(632,138) = 43608
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FAQs on GCF of Fractions of 9681/632, 6916/138
1. What is the HCF of 9681,6916?
The HCF of 9681,6916 is 7
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 9681/632, 6916/138?
Answer: GCF of Numerators as per given numbers 9681/632, 6916/138 is
GCF of Numerators i.e. for 9681,6916 is 7
LCM of denominators i.e. for 632,138 is 43608.
Thus, GCF of Fractions is 7/43608.Finally, GCF of Fractions for 9681/632, 6916/138 is 7/43608.