GCF of 4991/305, 6992/9388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4991/305, 6992/9388 i.e 23/2863340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4991/305, 6992/9388.
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 4991/305,6992/9388?
Given fractions are 4991/305,6992/9388
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 4991/305,6992/9388, numerators are 4991,6992
Denominators are 305,9388
The GCF of 4991,6992 is 23 .
LCM of 305,9388 is 2863340.
The greatest common factor of 4991/305,6992/9388 = [GCF of 4991,6992]/[LCM of 305,9388]= 23/2863340
Therefore, the GCF of 4991/305,6992/9388 is 23/2863340.
To find the highest common factor of 4991,6992, we have to find the factors of both numbers and list the highest common factor.
The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991
The factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992
The HCF of 4991,6992 is 23.
Lets's calculate GCF of 4991,6992
| 23 | 4991, 6992 |
| 217, 304 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4991,6992 By Matching Biggest Common Factor Method
Now, list down the factors of 4991
:1,7,23,31,161,217,713,4991
Now, list down the factors of 6992
:1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992
Greatest Common Factor
We found the factors 4991,6992 . The biggest common factor number is the GCF number.
So the greatest common factor 4991,6992 is 23.
Lets's calculate LCM of 305,9388
Given numbers has no common factors except 1. So, there LCM is their product i.e 2863340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2863340
Therefore, the GCF of Fractions 4991/305,6992/9388 is 23/2863340
Least Common Multiple of 305,9388 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 305,9388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,9388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,9388) x common factors =1 x 1 = 1
LCM(305,9388) = ( 305 × 9388 ) / 1
LCM(305,9388) = 2863340 / 1
LCM(305,9388) = 2863340
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FAQs on GCF of Fractions of 4991/305, 6992/9388
1. What is the HCF of 4991,6992?
The HCF of 4991,6992 is 23
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 4991/305, 6992/9388?
Answer: GCF of Numerators as per given numbers 4991/305, 6992/9388 is
GCF of Numerators i.e. for 4991,6992 is 23
LCM of denominators i.e. for 305,9388 is 2863340.
Thus, GCF of Fractions is 23/2863340.Finally, GCF of Fractions for 4991/305, 6992/9388 is 23/2863340.