GCF of 9831/123, 4416/3499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9831/123, 4416/3499 i.e 3/430377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9831/123, 4416/3499.
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 9831/123,4416/3499?
Given fractions are 9831/123,4416/3499
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 9831/123,4416/3499, numerators are 9831,4416
Denominators are 123,3499
The GCF of 9831,4416 is 3 .
LCM of 123,3499 is 430377.
The greatest common factor of 9831/123,4416/3499 = [GCF of 9831,4416]/[LCM of 123,3499]= 3/430377
Therefore, the GCF of 9831/123,4416/3499 is 3/430377.
To find the highest common factor of 9831,4416, we have to find the factors of both numbers and list the highest common factor.
The factors of 9831 are 1, 3, 29, 87, 113, 339, 3277, 9831
The factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416
The HCF of 9831,4416 is 3.
Lets's calculate GCF of 9831,4416
| 3 | 9831, 4416 |
| 3277, 1472 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9831,4416 By Matching Biggest Common Factor Method
Now, list down the factors of 9831
:1,3,29,87,113,339,3277,9831
Now, list down the factors of 4416
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416
Greatest Common Factor
We found the factors 9831,4416 . The biggest common factor number is the GCF number.
So the greatest common factor 9831,4416 is 3.
Lets's calculate LCM of 123,3499
Given numbers has no common factors except 1. So, there LCM is their product i.e 430377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/430377
Therefore, the GCF of Fractions 9831/123,4416/3499 is 3/430377
Least Common Multiple of 123,3499 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 123,3499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,3499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,3499) x common factors =1 x 1 = 1
LCM(123,3499) = ( 123 × 3499 ) / 1
LCM(123,3499) = 430377 / 1
LCM(123,3499) = 430377
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FAQs on GCF of Fractions of 9831/123, 4416/3499
1. What is the HCF of 9831,4416?
The HCF of 9831,4416 is 3
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 9831/123, 4416/3499?
Answer: GCF of Numerators as per given numbers 9831/123, 4416/3499 is
GCF of Numerators i.e. for 9831,4416 is 3
LCM of denominators i.e. for 123,3499 is 430377.
Thus, GCF of Fractions is 3/430377.Finally, GCF of Fractions for 9831/123, 4416/3499 is 3/430377.