GCF of 4991/646, 4298/616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4991/646, 4298/616 i.e 7/198968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4991/646, 4298/616.
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 4991/646,4298/616?
Given fractions are 4991/646,4298/616
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 4991/646,4298/616, numerators are 4991,4298
Denominators are 646,616
The GCF of 4991,4298 is 7 .
LCM of 646,616 is 198968.
The greatest common factor of 4991/646,4298/616 = [GCF of 4991,4298]/[LCM of 646,616]= 7/198968
Therefore, the GCF of 4991/646,4298/616 is 7/198968.
To find the highest common factor of 4991,4298, 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 4298 are 1, 2, 7, 14, 307, 614, 2149, 4298
The HCF of 4991,4298 is 7.
Lets's calculate GCF of 4991,4298
| 7 | 4991, 4298 |
| 713, 614 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4991,4298 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 4298
:1,2,7,14,307,614,2149,4298
Greatest Common Factor
We found the factors 4991,4298 . The biggest common factor number is the GCF number.
So the greatest common factor 4991,4298 is 7.
Lets's calculate LCM of 646,616
| 2 | 646, 616 |
| 323, 308 |
∴ So the LCM of the given numbers is 2 x 323 x 308 = 198968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/198968
Therefore, the GCF of Fractions 4991/646,4298/616 is 7/198968
Least Common Multiple of 646,616 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 646,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,616) x common factors =2 x 1 = 2
LCM(646,616) = ( 646 × 616 ) / 2
LCM(646,616) = 397936 / 2
LCM(646,616) = 198968
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FAQs on GCF of Fractions of 4991/646, 4298/616
1. What is the HCF of 4991,4298?
The HCF of 4991,4298 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 4991/646, 4298/616?
Answer: GCF of Numerators as per given numbers 4991/646, 4298/616 is
GCF of Numerators i.e. for 4991,4298 is 7
LCM of denominators i.e. for 646,616 is 198968.
Thus, GCF of Fractions is 7/198968.Finally, GCF of Fractions for 4991/646, 4298/616 is 7/198968.