GCF of 9913/154, 3082/3816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9913/154, 3082/3816 i.e 23/293832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9913/154, 3082/3816.
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 9913/154,3082/3816?
Given fractions are 9913/154,3082/3816
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 9913/154,3082/3816, numerators are 9913,3082
Denominators are 154,3816
The GCF of 9913,3082 is 23 .
LCM of 154,3816 is 293832.
The greatest common factor of 9913/154,3082/3816 = [GCF of 9913,3082]/[LCM of 154,3816]= 23/293832
Therefore, the GCF of 9913/154,3082/3816 is 23/293832.
To find the highest common factor of 9913,3082, we have to find the factors of both numbers and list the highest common factor.
The factors of 9913 are 1, 23, 431, 9913
The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082
The HCF of 9913,3082 is 23.
Lets's calculate GCF of 9913,3082
| 23 | 9913, 3082 |
| 431, 134 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 9913,3082 By Matching Biggest Common Factor Method
Now, list down the factors of 9913
:1,23,431,9913
Now, list down the factors of 3082
:1,2,23,46,67,134,1541,3082
Greatest Common Factor
We found the factors 9913,3082 . The biggest common factor number is the GCF number.
So the greatest common factor 9913,3082 is 23.
Lets's calculate LCM of 154,3816
| 2 | 154, 3816 |
| 77, 1908 |
∴ So the LCM of the given numbers is 2 x 77 x 1908 = 293832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/293832
Therefore, the GCF of Fractions 9913/154,3082/3816 is 23/293832
Least Common Multiple of 154,3816 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 154,3816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,3816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,3816) x common factors =2 x 1 = 2
LCM(154,3816) = ( 154 × 3816 ) / 2
LCM(154,3816) = 587664 / 2
LCM(154,3816) = 293832
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9913/154, 3082/3816
1. What is the HCF of 9913,3082?
The HCF of 9913,3082 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 9913/154, 3082/3816?
Answer: GCF of Numerators as per given numbers 9913/154, 3082/3816 is
GCF of Numerators i.e. for 9913,3082 is 23
LCM of denominators i.e. for 154,3816 is 293832.
Thus, GCF of Fractions is 23/293832.Finally, GCF of Fractions for 9913/154, 3082/3816 is 23/293832.