GCF of 6391/715, 6996/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6391/715, 6996/908 i.e 11/649220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6391/715, 6996/908.
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 6391/715,6996/908?
Given fractions are 6391/715,6996/908
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 6391/715,6996/908, numerators are 6391,6996
Denominators are 715,908
The GCF of 6391,6996 is 11 .
LCM of 715,908 is 649220.
The greatest common factor of 6391/715,6996/908 = [GCF of 6391,6996]/[LCM of 715,908]= 11/649220
Therefore, the GCF of 6391/715,6996/908 is 11/649220.
To find the highest common factor of 6391,6996, we have to find the factors of both numbers and list the highest common factor.
The factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391
The factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996
The HCF of 6391,6996 is 11.
Lets's calculate GCF of 6391,6996
| 11 | 6391, 6996 |
| 581, 636 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6391,6996 By Matching Biggest Common Factor Method
Now, list down the factors of 6391
:1,7,11,77,83,581,913,6391
Now, list down the factors of 6996
:1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Greatest Common Factor
We found the factors 6391,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 6391,6996 is 11.
Lets's calculate LCM of 715,908
Given numbers has no common factors except 1. So, there LCM is their product i.e 649220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/649220
Therefore, the GCF of Fractions 6391/715,6996/908 is 11/649220
Least Common Multiple of 715,908 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 715,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,908) x common factors =1 x 1 = 1
LCM(715,908) = ( 715 × 908 ) / 1
LCM(715,908) = 649220 / 1
LCM(715,908) = 649220
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FAQs on GCF of Fractions of 6391/715, 6996/908
1. What is the HCF of 6391,6996?
The HCF of 6391,6996 is 11
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 6391/715, 6996/908?
Answer: GCF of Numerators as per given numbers 6391/715, 6996/908 is
GCF of Numerators i.e. for 6391,6996 is 11
LCM of denominators i.e. for 715,908 is 649220.
Thus, GCF of Fractions is 11/649220.Finally, GCF of Fractions for 6391/715, 6996/908 is 11/649220.