GCF of 5147/260, 5427/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5147/260, 5427/410 i.e 1/10660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5147/260, 5427/410.
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 5147/260,5427/410?
Given fractions are 5147/260,5427/410
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 5147/260,5427/410, numerators are 5147,5427
Denominators are 260,410
The GCF of 5147,5427 is 1 .
LCM of 260,410 is 10660.
The greatest common factor of 5147/260,5427/410 = [GCF of 5147,5427]/[LCM of 260,410]= 1/10660
Therefore, the GCF of 5147/260,5427/410 is 1/10660.
To find the highest common factor of 5147,5427, we have to find the factors of both numbers and list the highest common factor.
The factors of 5147 are 1, 5147
The factors of 5427 are 1, 3, 9, 27, 67, 81, 201, 603, 1809, 5427
The HCF of 5147,5427 is 1.
Lets's calculate GCF of 5147,5427
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5147,5427 By Matching Biggest Common Factor Method
Now, list down the factors of 5147
:1,5147
Now, list down the factors of 5427
:1,3,9,27,67,81,201,603,1809,5427
Greatest Common Factor
We found the factors 5147,5427 . The biggest common factor number is the GCF number.
So the greatest common factor 5147,5427 is 1.
Lets's calculate LCM of 260,410
| 2 | 260, 410 |
| 5 | 130, 205 |
| 26, 41 |
∴ So the LCM of the given numbers is 2 x 5 x 26 x 41 = 10660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10660
Therefore, the GCF of Fractions 5147/260,5427/410 is 1/10660
Least Common Multiple of 260,410 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 260,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,410) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(260,410) x common factors =10 x 1 = 10
LCM(260,410) = ( 260 × 410 ) / 10
LCM(260,410) = 106600 / 10
LCM(260,410) = 10660
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FAQs on GCF of Fractions of 5147/260, 5427/410
1. What is the HCF of 5147,5427?
The HCF of 5147,5427 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 5147/260, 5427/410?
Answer: GCF of Numerators as per given numbers 5147/260, 5427/410 is
GCF of Numerators i.e. for 5147,5427 is 1
LCM of denominators i.e. for 260,410 is 10660.
Thus, GCF of Fractions is 1/10660.Finally, GCF of Fractions for 5147/260, 5427/410 is 1/10660.