GCF of 6605/442, 5260/9726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6605/442, 5260/9726 i.e 5/2149446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6605/442, 5260/9726.
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 6605/442,5260/9726?
Given fractions are 6605/442,5260/9726
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 6605/442,5260/9726, numerators are 6605,5260
Denominators are 442,9726
The GCF of 6605,5260 is 5 .
LCM of 442,9726 is 2149446.
The greatest common factor of 6605/442,5260/9726 = [GCF of 6605,5260]/[LCM of 442,9726]= 5/2149446
Therefore, the GCF of 6605/442,5260/9726 is 5/2149446.
To find the highest common factor of 6605,5260, we have to find the factors of both numbers and list the highest common factor.
The factors of 6605 are 1, 5, 1321, 6605
The factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The HCF of 6605,5260 is 5.
Lets's calculate GCF of 6605,5260
| 5 | 6605, 5260 |
| 1321, 1052 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6605,5260 By Matching Biggest Common Factor Method
Now, list down the factors of 6605
:1,5,1321,6605
Now, list down the factors of 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Greatest Common Factor
We found the factors 6605,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 6605,5260 is 5.
Lets's calculate LCM of 442,9726
| 2 | 442, 9726 |
| 221, 4863 |
∴ So the LCM of the given numbers is 2 x 221 x 4863 = 2149446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2149446
Therefore, the GCF of Fractions 6605/442,5260/9726 is 5/2149446
Least Common Multiple of 442,9726 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 442,9726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,9726) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,9726) x common factors =2 x 1 = 2
LCM(442,9726) = ( 442 × 9726 ) / 2
LCM(442,9726) = 4298892 / 2
LCM(442,9726) = 2149446
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FAQs on GCF of Fractions of 6605/442, 5260/9726
1. What is the HCF of 6605,5260?
The HCF of 6605,5260 is 5
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 6605/442, 5260/9726?
Answer: GCF of Numerators as per given numbers 6605/442, 5260/9726 is
GCF of Numerators i.e. for 6605,5260 is 5
LCM of denominators i.e. for 442,9726 is 2149446.
Thus, GCF of Fractions is 5/2149446.Finally, GCF of Fractions for 6605/442, 5260/9726 is 5/2149446.