GCF of 6996/773, 7941/5167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6996/773, 7941/5167 i.e 3/3994091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6996/773, 7941/5167.
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 6996/773,7941/5167?
Given fractions are 6996/773,7941/5167
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 6996/773,7941/5167, numerators are 6996,7941
Denominators are 773,5167
The GCF of 6996,7941 is 3 .
LCM of 773,5167 is 3994091.
The greatest common factor of 6996/773,7941/5167 = [GCF of 6996,7941]/[LCM of 773,5167]= 3/3994091
Therefore, the GCF of 6996/773,7941/5167 is 3/3994091.
To find the highest common factor of 6996,7941, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7941 are 1, 3, 2647, 7941
The HCF of 6996,7941 is 3.
Lets's calculate GCF of 6996,7941
| 3 | 6996, 7941 |
| 2332, 2647 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6996,7941 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7941
:1,3,2647,7941
Greatest Common Factor
We found the factors 6996,7941 . The biggest common factor number is the GCF number.
So the greatest common factor 6996,7941 is 3.
Lets's calculate LCM of 773,5167
Given numbers has no common factors except 1. So, there LCM is their product i.e 3994091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3994091
Therefore, the GCF of Fractions 6996/773,7941/5167 is 3/3994091
Least Common Multiple of 773,5167 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 773,5167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,5167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,5167) x common factors =1 x 1 = 1
LCM(773,5167) = ( 773 × 5167 ) / 1
LCM(773,5167) = 3994091 / 1
LCM(773,5167) = 3994091
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FAQs on GCF of Fractions of 6996/773, 7941/5167
1. What is the HCF of 6996,7941?
The HCF of 6996,7941 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 6996/773, 7941/5167?
Answer: GCF of Numerators as per given numbers 6996/773, 7941/5167 is
GCF of Numerators i.e. for 6996,7941 is 3
LCM of denominators i.e. for 773,5167 is 3994091.
Thus, GCF of Fractions is 3/3994091.Finally, GCF of Fractions for 6996/773, 7941/5167 is 3/3994091.