GCF of 4113/296, 2484/8493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4113/296, 2484/8493 i.e 9/2513928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4113/296, 2484/8493.
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 4113/296,2484/8493?
Given fractions are 4113/296,2484/8493
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 4113/296,2484/8493, numerators are 4113,2484
Denominators are 296,8493
The GCF of 4113,2484 is 9 .
LCM of 296,8493 is 2513928.
The greatest common factor of 4113/296,2484/8493 = [GCF of 4113,2484]/[LCM of 296,8493]= 9/2513928
Therefore, the GCF of 4113/296,2484/8493 is 9/2513928.
To find the highest common factor of 4113,2484, we have to find the factors of both numbers and list the highest common factor.
The factors of 4113 are 1, 3, 9, 457, 1371, 4113
The factors of 2484 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242, 2484
The HCF of 4113,2484 is 9.
Lets's calculate GCF of 4113,2484
| 3 | 4113, 2484 |
| 3 | 1371, 828 |
| 457, 276 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4113,2484 By Matching Biggest Common Factor Method
Now, list down the factors of 4113
:1,3,9,457,1371,4113
Now, list down the factors of 2484
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,92,108,138,207,276,414,621,828,1242,2484
Greatest Common Factor
We found the factors 4113,2484 . The biggest common factor number is the GCF number.
So the greatest common factor 4113,2484 is 9.
Lets's calculate LCM of 296,8493
Given numbers has no common factors except 1. So, there LCM is their product i.e 2513928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2513928
Therefore, the GCF of Fractions 4113/296,2484/8493 is 9/2513928
Least Common Multiple of 296,8493 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 296,8493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,8493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,8493) x common factors =1 x 1 = 1
LCM(296,8493) = ( 296 × 8493 ) / 1
LCM(296,8493) = 2513928 / 1
LCM(296,8493) = 2513928
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4113/296, 2484/8493
1. What is the HCF of 4113,2484?
The HCF of 4113,2484 is 9
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 4113/296, 2484/8493?
Answer: GCF of Numerators as per given numbers 4113/296, 2484/8493 is
GCF of Numerators i.e. for 4113,2484 is 9
LCM of denominators i.e. for 296,8493 is 2513928.
Thus, GCF of Fractions is 9/2513928.Finally, GCF of Fractions for 4113/296, 2484/8493 is 9/2513928.