GCF of 9/24, 96/47, 39/542, 843/329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9/24, 96/47, 39/542, 843/329 i.e 3/2139816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/24, 96/47, 39/542, 843/329.
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 9/24,96/47,39/542,843/329?
Given fractions are 9/24,96/47,39/542,843/329
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 9/24,96/47,39/542,843/329, numerators are 9,96,39,843
Denominators are 24,47,542,329
The GCF of 9,96,39,843 is 3 .
LCM of 24,47,542,329 is 2139816.
The greatest common factor of 9/24,96/47,39/542,843/329 = [GCF of 9,96,39,843]/[LCM of 24,47,542,329]= 3/2139816
Therefore, the GCF of 9/24,96/47,39/542,843/329 is 3/2139816.
To find the highest common factor of 9,96,39,843, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 39 are 1, 3, 13, 39
The factors of 843 are 1, 3, 281, 843
The HCF of 9,96,39,843 is 3.
Lets's calculate GCF of 9,96,39,843
| 3 | 9, 96, 39, 843 |
| 3, 32, 13, 281 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9,96,39,843 By Matching Biggest Common Factor Method
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 843
:1,3,281,843
Greatest Common Factor
We found the factors 9,96,39,843 . The biggest common factor number is the GCF number.
So the greatest common factor 9,96,39,843 is 3.
Lets's calculate LCM of 24,47,542,329
| 2 | 24, 47, 542, 329 |
| 47 | 12, 47, 271, 329 |
| 12, 1, 271, 7 |
∴ So the LCM of the given numbers is 2 x 47 x 12 x 1 x 271 x 7 = 2139816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2139816
Therefore, the GCF of Fractions 9/24,96/47,39/542,843/329 is 3/2139816
Least Common Multiple of 24,47,542,329 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 24,47,542,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,47,542,329) = 1
common factors(in case of two or more numbers have common factors) = 94
GCF(24,47,542,329) x common factors =1 x 94 = 94
LCM(24,47,542,329) = ( 24 × 47 × 542 × 329 ) / 94
LCM(24,47,542,329) = 201142704 / 94
LCM(24,47,542,329) = 2139816
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9/24, 96/47, 39/542, 843/329
1. What is the HCF of 9,96,39,843?
The HCF of 9,96,39,843 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 9/24, 96/47, 39/542, 843/329?
Answer: GCF of Numerators as per given numbers 9/24, 96/47, 39/542, 843/329 is
GCF of Numerators i.e. for 9,96,39,843 is 3
LCM of denominators i.e. for 24,47,542,329 is 2139816.
Thus, GCF of Fractions is 3/2139816.Finally, GCF of Fractions for 9/24, 96/47, 39/542, 843/329 is 3/2139816.