GCF of 5427/323, 8154/9960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5427/323, 8154/9960 i.e 27/3217080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5427/323, 8154/9960.
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 5427/323,8154/9960?
Given fractions are 5427/323,8154/9960
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 5427/323,8154/9960, numerators are 5427,8154
Denominators are 323,9960
The GCF of 5427,8154 is 27 .
LCM of 323,9960 is 3217080.
The greatest common factor of 5427/323,8154/9960 = [GCF of 5427,8154]/[LCM of 323,9960]= 27/3217080
Therefore, the GCF of 5427/323,8154/9960 is 27/3217080.
To find the highest common factor of 5427,8154, we have to find the factors of both numbers and list the highest common factor.
The factors of 5427 are 1, 3, 9, 27, 67, 81, 201, 603, 1809, 5427
The factors of 8154 are 1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154
The HCF of 5427,8154 is 27.
Lets's calculate GCF of 5427,8154
| 3 | 5427, 8154 |
| 3 | 1809, 2718 |
| 3 | 603, 906 |
| 201, 302 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 5427,8154 By Matching Biggest Common Factor Method
Now, list down the factors of 5427
:1,3,9,27,67,81,201,603,1809,5427
Now, list down the factors of 8154
:1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154
Greatest Common Factor
We found the factors 5427,8154 . The biggest common factor number is the GCF number.
So the greatest common factor 5427,8154 is 27.
Lets's calculate LCM of 323,9960
Given numbers has no common factors except 1. So, there LCM is their product i.e 3217080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/3217080
Therefore, the GCF of Fractions 5427/323,8154/9960 is 27/3217080
Least Common Multiple of 323,9960 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 323,9960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,9960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,9960) x common factors =1 x 1 = 1
LCM(323,9960) = ( 323 × 9960 ) / 1
LCM(323,9960) = 3217080 / 1
LCM(323,9960) = 3217080
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FAQs on GCF of Fractions of 5427/323, 8154/9960
1. What is the HCF of 5427,8154?
The HCF of 5427,8154 is 27
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 5427/323, 8154/9960?
Answer: GCF of Numerators as per given numbers 5427/323, 8154/9960 is
GCF of Numerators i.e. for 5427,8154 is 27
LCM of denominators i.e. for 323,9960 is 3217080.
Thus, GCF of Fractions is 27/3217080.Finally, GCF of Fractions for 5427/323, 8154/9960 is 27/3217080.