GCF of 3/76, 81/23, 54/488, 831/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/76, 81/23, 54/488, 831/149 i.e 3/31775144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/76, 81/23, 54/488, 831/149.
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 3/76,81/23,54/488,831/149?
Given fractions are 3/76,81/23,54/488,831/149
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 3/76,81/23,54/488,831/149, numerators are 3,81,54,831
Denominators are 76,23,488,149
The GCF of 3,81,54,831 is 3 .
LCM of 76,23,488,149 is 31775144.
The greatest common factor of 3/76,81/23,54/488,831/149 = [GCF of 3,81,54,831]/[LCM of 76,23,488,149]= 3/31775144
Therefore, the GCF of 3/76,81/23,54/488,831/149 is 3/31775144.
To find the highest common factor of 3,81,54,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 81 are 1, 3, 9, 27, 81
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 831 are 1, 3, 277, 831
The HCF of 3,81,54,831 is 3.
Lets's calculate GCF of 3,81,54,831
| 3 | 3, 81, 54, 831 |
| 1, 27, 18, 277 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3,81,54,831 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 3,81,54,831 . The biggest common factor number is the GCF number.
So the greatest common factor 3,81,54,831 is 3.
Lets's calculate LCM of 76,23,488,149
| 2 | 76, 23, 488, 149 |
| 2 | 38, 23, 244, 149 |
| 19, 23, 122, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 23 x 122 x 149 = 31775144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31775144
Therefore, the GCF of Fractions 3/76,81/23,54/488,831/149 is 3/31775144
Least Common Multiple of 76,23,488,149 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 76,23,488,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,23,488,149) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,23,488,149) x common factors =1 x 4 = 4
LCM(76,23,488,149) = ( 76 × 23 × 488 × 149 ) / 4
LCM(76,23,488,149) = 127100576 / 4
LCM(76,23,488,149) = 31775144
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3/76, 81/23, 54/488, 831/149
1. What is the HCF of 3,81,54,831?
The HCF of 3,81,54,831 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 3/76, 81/23, 54/488, 831/149?
Answer: GCF of Numerators as per given numbers 3/76, 81/23, 54/488, 831/149 is
GCF of Numerators i.e. for 3,81,54,831 is 3
LCM of denominators i.e. for 76,23,488,149 is 31775144.
Thus, GCF of Fractions is 3/31775144.Finally, GCF of Fractions for 3/76, 81/23, 54/488, 831/149 is 3/31775144.