GCF of 8043/898, 8596/4449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8043/898, 8596/4449 i.e 7/3995202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8043/898, 8596/4449.
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 8043/898,8596/4449?
Given fractions are 8043/898,8596/4449
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 8043/898,8596/4449, numerators are 8043,8596
Denominators are 898,4449
The GCF of 8043,8596 is 7 .
LCM of 898,4449 is 3995202.
The greatest common factor of 8043/898,8596/4449 = [GCF of 8043,8596]/[LCM of 898,4449]= 7/3995202
Therefore, the GCF of 8043/898,8596/4449 is 7/3995202.
To find the highest common factor of 8043,8596, we have to find the factors of both numbers and list the highest common factor.
The factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043
The factors of 8596 are 1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596
The HCF of 8043,8596 is 7.
Lets's calculate GCF of 8043,8596
| 7 | 8043, 8596 |
| 1149, 1228 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8043,8596 By Matching Biggest Common Factor Method
Now, list down the factors of 8043
:1,3,7,21,383,1149,2681,8043
Now, list down the factors of 8596
:1,2,4,7,14,28,307,614,1228,2149,4298,8596
Greatest Common Factor
We found the factors 8043,8596 . The biggest common factor number is the GCF number.
So the greatest common factor 8043,8596 is 7.
Lets's calculate LCM of 898,4449
Given numbers has no common factors except 1. So, there LCM is their product i.e 3995202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3995202
Therefore, the GCF of Fractions 8043/898,8596/4449 is 7/3995202
Least Common Multiple of 898,4449 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 898,4449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,4449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(898,4449) x common factors =1 x 1 = 1
LCM(898,4449) = ( 898 × 4449 ) / 1
LCM(898,4449) = 3995202 / 1
LCM(898,4449) = 3995202
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8043/898, 8596/4449
1. What is the HCF of 8043,8596?
The HCF of 8043,8596 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 8043/898, 8596/4449?
Answer: GCF of Numerators as per given numbers 8043/898, 8596/4449 is
GCF of Numerators i.e. for 8043,8596 is 7
LCM of denominators i.e. for 898,4449 is 3995202.
Thus, GCF of Fractions is 7/3995202.Finally, GCF of Fractions for 8043/898, 8596/4449 is 7/3995202.