GCF of 4239/439, 5121/4552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4239/439, 5121/4552 i.e 9/1998328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4239/439, 5121/4552.
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 4239/439,5121/4552?
Given fractions are 4239/439,5121/4552
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 4239/439,5121/4552, numerators are 4239,5121
Denominators are 439,4552
The GCF of 4239,5121 is 9 .
LCM of 439,4552 is 1998328.
The greatest common factor of 4239/439,5121/4552 = [GCF of 4239,5121]/[LCM of 439,4552]= 9/1998328
Therefore, the GCF of 4239/439,5121/4552 is 9/1998328.
To find the highest common factor of 4239,5121, we have to find the factors of both numbers and list the highest common factor.
The factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239
The factors of 5121 are 1, 3, 9, 569, 1707, 5121
The HCF of 4239,5121 is 9.
Lets's calculate GCF of 4239,5121
| 3 | 4239, 5121 |
| 3 | 1413, 1707 |
| 471, 569 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4239,5121 By Matching Biggest Common Factor Method
Now, list down the factors of 4239
:1,3,9,27,157,471,1413,4239
Now, list down the factors of 5121
:1,3,9,569,1707,5121
Greatest Common Factor
We found the factors 4239,5121 . The biggest common factor number is the GCF number.
So the greatest common factor 4239,5121 is 9.
Lets's calculate LCM of 439,4552
Given numbers has no common factors except 1. So, there LCM is their product i.e 1998328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1998328
Therefore, the GCF of Fractions 4239/439,5121/4552 is 9/1998328
Least Common Multiple of 439,4552 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 439,4552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,4552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,4552) x common factors =1 x 1 = 1
LCM(439,4552) = ( 439 × 4552 ) / 1
LCM(439,4552) = 1998328 / 1
LCM(439,4552) = 1998328
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FAQs on GCF of Fractions of 4239/439, 5121/4552
1. What is the HCF of 4239,5121?
The HCF of 4239,5121 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 4239/439, 5121/4552?
Answer: GCF of Numerators as per given numbers 4239/439, 5121/4552 is
GCF of Numerators i.e. for 4239,5121 is 9
LCM of denominators i.e. for 439,4552 is 1998328.
Thus, GCF of Fractions is 9/1998328.Finally, GCF of Fractions for 4239/439, 5121/4552 is 9/1998328.