GCF of 4439/765, 8148/4755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4439/765, 8148/4755 i.e 1/242505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4439/765, 8148/4755.
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 4439/765,8148/4755?
Given fractions are 4439/765,8148/4755
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 4439/765,8148/4755, numerators are 4439,8148
Denominators are 765,4755
The GCF of 4439,8148 is 1 .
LCM of 765,4755 is 242505.
The greatest common factor of 4439/765,8148/4755 = [GCF of 4439,8148]/[LCM of 765,4755]= 1/242505
Therefore, the GCF of 4439/765,8148/4755 is 1/242505.
To find the highest common factor of 4439,8148, we have to find the factors of both numbers and list the highest common factor.
The factors of 4439 are 1, 23, 193, 4439
The factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148
The HCF of 4439,8148 is 1.
Lets's calculate GCF of 4439,8148
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4439,8148 By Matching Biggest Common Factor Method
Now, list down the factors of 4439
:1,23,193,4439
Now, list down the factors of 8148
:1,2,3,4,6,7,12,14,21,28,42,84,97,194,291,388,582,679,1164,1358,2037,2716,4074,8148
Greatest Common Factor
We found the factors 4439,8148 . The biggest common factor number is the GCF number.
So the greatest common factor 4439,8148 is 1.
Lets's calculate LCM of 765,4755
| 3 | 765, 4755 |
| 5 | 255, 1585 |
| 51, 317 |
∴ So the LCM of the given numbers is 3 x 5 x 51 x 317 = 242505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242505
Therefore, the GCF of Fractions 4439/765,8148/4755 is 1/242505
Least Common Multiple of 765,4755 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 765,4755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,4755) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(765,4755) x common factors =15 x 1 = 15
LCM(765,4755) = ( 765 × 4755 ) / 15
LCM(765,4755) = 3637575 / 15
LCM(765,4755) = 242505
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4439/765, 8148/4755
1. What is the HCF of 4439,8148?
The HCF of 4439,8148 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 4439/765, 8148/4755?
Answer: GCF of Numerators as per given numbers 4439/765, 8148/4755 is
GCF of Numerators i.e. for 4439,8148 is 1
LCM of denominators i.e. for 765,4755 is 242505.
Thus, GCF of Fractions is 1/242505.Finally, GCF of Fractions for 4439/765, 8148/4755 is 1/242505.