GCF of 5440/494, 3462/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5440/494, 3462/408 i.e 2/100776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5440/494, 3462/408.
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 5440/494,3462/408?
Given fractions are 5440/494,3462/408
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 5440/494,3462/408, numerators are 5440,3462
Denominators are 494,408
The GCF of 5440,3462 is 2 .
LCM of 494,408 is 100776.
The greatest common factor of 5440/494,3462/408 = [GCF of 5440,3462]/[LCM of 494,408]= 2/100776
Therefore, the GCF of 5440/494,3462/408 is 2/100776.
To find the highest common factor of 5440,3462, we have to find the factors of both numbers and list the highest common factor.
The factors of 5440 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440
The factors of 3462 are 1, 2, 3, 6, 577, 1154, 1731, 3462
The HCF of 5440,3462 is 2.
Lets's calculate GCF of 5440,3462
| 2 | 5440, 3462 |
| 2720, 1731 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5440,3462 By Matching Biggest Common Factor Method
Now, list down the factors of 5440
:1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440
Now, list down the factors of 3462
:1,2,3,6,577,1154,1731,3462
Greatest Common Factor
We found the factors 5440,3462 . The biggest common factor number is the GCF number.
So the greatest common factor 5440,3462 is 2.
Lets's calculate LCM of 494,408
| 2 | 494, 408 |
| 247, 204 |
∴ So the LCM of the given numbers is 2 x 247 x 204 = 100776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100776
Therefore, the GCF of Fractions 5440/494,3462/408 is 2/100776
Least Common Multiple of 494,408 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 494,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,408) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,408) x common factors =2 x 1 = 2
LCM(494,408) = ( 494 × 408 ) / 2
LCM(494,408) = 201552 / 2
LCM(494,408) = 100776
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FAQs on GCF of Fractions of 5440/494, 3462/408
1. What is the HCF of 5440,3462?
The HCF of 5440,3462 is 2
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 5440/494, 3462/408?
Answer: GCF of Numerators as per given numbers 5440/494, 3462/408 is
GCF of Numerators i.e. for 5440,3462 is 2
LCM of denominators i.e. for 494,408 is 100776.
Thus, GCF of Fractions is 2/100776.Finally, GCF of Fractions for 5440/494, 3462/408 is 2/100776.