GCF of 14/83, 17/48, 44/54, 96/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/83, 17/48, 44/54, 96/922 i.e 1/16529616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/83, 17/48, 44/54, 96/922.
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 14/83,17/48,44/54,96/922?
Given fractions are 14/83,17/48,44/54,96/922
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 14/83,17/48,44/54,96/922, numerators are 14,17,44,96
Denominators are 83,48,54,922
The GCF of 14,17,44,96 is 1 .
LCM of 83,48,54,922 is 16529616.
The greatest common factor of 14/83,17/48,44/54,96/922 = [GCF of 14,17,44,96]/[LCM of 83,48,54,922]= 1/16529616
Therefore, the GCF of 14/83,17/48,44/54,96/922 is 1/16529616.
To find the highest common factor of 14,17,44,96, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 17 are 1, 17
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The HCF of 14,17,44,96 is 1.
Lets's calculate GCF of 14,17,44,96
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,17,44,96 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 17
:1,17
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Greatest Common Factor
We found the factors 14,17,44,96 . The biggest common factor number is the GCF number.
So the greatest common factor 14,17,44,96 is 1.
Lets's calculate LCM of 83,48,54,922
| 2 | 83, 48, 54, 922 |
| 3 | 83, 24, 27, 461 |
| 83, 8, 9, 461 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 8 x 9 x 461 = 16529616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16529616
Therefore, the GCF of Fractions 14/83,17/48,44/54,96/922 is 1/16529616
Least Common Multiple of 83,48,54,922 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 83,48,54,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,48,54,922) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(83,48,54,922) x common factors =1 x 12 = 12
LCM(83,48,54,922) = ( 83 × 48 × 54 × 922 ) / 12
LCM(83,48,54,922) = 198355392 / 12
LCM(83,48,54,922) = 16529616
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 14/83, 17/48, 44/54, 96/922
1. What is the HCF of 14,17,44,96?
The HCF of 14,17,44,96 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 14/83, 17/48, 44/54, 96/922?
Answer: GCF of Numerators as per given numbers 14/83, 17/48, 44/54, 96/922 is
GCF of Numerators i.e. for 14,17,44,96 is 1
LCM of denominators i.e. for 83,48,54,922 is 16529616.
Thus, GCF of Fractions is 1/16529616.Finally, GCF of Fractions for 14/83, 17/48, 44/54, 96/922 is 1/16529616.