GCF of 4328/864, 4161/5475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4328/864, 4161/5475 i.e 1/1576800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4328/864, 4161/5475.
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 4328/864,4161/5475?
Given fractions are 4328/864,4161/5475
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 4328/864,4161/5475, numerators are 4328,4161
Denominators are 864,5475
The GCF of 4328,4161 is 1 .
LCM of 864,5475 is 1576800.
The greatest common factor of 4328/864,4161/5475 = [GCF of 4328,4161]/[LCM of 864,5475]= 1/1576800
Therefore, the GCF of 4328/864,4161/5475 is 1/1576800.
To find the highest common factor of 4328,4161, we have to find the factors of both numbers and list the highest common factor.
The factors of 4328 are 1, 2, 4, 8, 541, 1082, 2164, 4328
The factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161
The HCF of 4328,4161 is 1.
Lets's calculate GCF of 4328,4161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4328,4161 By Matching Biggest Common Factor Method
Now, list down the factors of 4328
:1,2,4,8,541,1082,2164,4328
Now, list down the factors of 4161
:1,3,19,57,73,219,1387,4161
Greatest Common Factor
We found the factors 4328,4161 . The biggest common factor number is the GCF number.
So the greatest common factor 4328,4161 is 1.
Lets's calculate LCM of 864,5475
| 3 | 864, 5475 |
| 288, 1825 |
∴ So the LCM of the given numbers is 3 x 288 x 1825 = 1576800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1576800
Therefore, the GCF of Fractions 4328/864,4161/5475 is 1/1576800
Least Common Multiple of 864,5475 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 864,5475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,5475) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(864,5475) x common factors =3 x 1 = 3
LCM(864,5475) = ( 864 × 5475 ) / 3
LCM(864,5475) = 4730400 / 3
LCM(864,5475) = 1576800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4328/864, 4161/5475
1. What is the HCF of 4328,4161?
The HCF of 4328,4161 is 1
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 4328/864, 4161/5475?
Answer: GCF of Numerators as per given numbers 4328/864, 4161/5475 is
GCF of Numerators i.e. for 4328,4161 is 1
LCM of denominators i.e. for 864,5475 is 1576800.
Thus, GCF of Fractions is 1/1576800.Finally, GCF of Fractions for 4328/864, 4161/5475 is 1/1576800.