GCF of 9331/939, 5166/7808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9331/939, 5166/7808 i.e 7/7331712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9331/939, 5166/7808.
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 9331/939,5166/7808?
Given fractions are 9331/939,5166/7808
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 9331/939,5166/7808, numerators are 9331,5166
Denominators are 939,7808
The GCF of 9331,5166 is 7 .
LCM of 939,7808 is 7331712.
The greatest common factor of 9331/939,5166/7808 = [GCF of 9331,5166]/[LCM of 939,7808]= 7/7331712
Therefore, the GCF of 9331/939,5166/7808 is 7/7331712.
To find the highest common factor of 9331,5166, we have to find the factors of both numbers and list the highest common factor.
The factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331
The factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166
The HCF of 9331,5166 is 7.
Lets's calculate GCF of 9331,5166
| 7 | 9331, 5166 |
| 1333, 738 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9331,5166 By Matching Biggest Common Factor Method
Now, list down the factors of 9331
:1,7,31,43,217,301,1333,9331
Now, list down the factors of 5166
:1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166
Greatest Common Factor
We found the factors 9331,5166 . The biggest common factor number is the GCF number.
So the greatest common factor 9331,5166 is 7.
Lets's calculate LCM of 939,7808
Given numbers has no common factors except 1. So, there LCM is their product i.e 7331712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/7331712
Therefore, the GCF of Fractions 9331/939,5166/7808 is 7/7331712
Least Common Multiple of 939,7808 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 939,7808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,7808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,7808) x common factors =1 x 1 = 1
LCM(939,7808) = ( 939 × 7808 ) / 1
LCM(939,7808) = 7331712 / 1
LCM(939,7808) = 7331712
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9331/939, 5166/7808
1. What is the HCF of 9331,5166?
The HCF of 9331,5166 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 9331/939, 5166/7808?
Answer: GCF of Numerators as per given numbers 9331/939, 5166/7808 is
GCF of Numerators i.e. for 9331,5166 is 7
LCM of denominators i.e. for 939,7808 is 7331712.
Thus, GCF of Fractions is 7/7331712.Finally, GCF of Fractions for 9331/939, 5166/7808 is 7/7331712.