GCF of 5440/322, 7404/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5440/322, 7404/794 i.e 4/127834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5440/322, 7404/794.
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 5440/322,7404/794?
Given fractions are 5440/322,7404/794
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 5440/322,7404/794, numerators are 5440,7404
Denominators are 322,794
The GCF of 5440,7404 is 4 .
LCM of 322,794 is 127834.
The greatest common factor of 5440/322,7404/794 = [GCF of 5440,7404]/[LCM of 322,794]= 4/127834
Therefore, the GCF of 5440/322,7404/794 is 4/127834.
To find the highest common factor of 5440,7404, 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 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404
The HCF of 5440,7404 is 4.
Lets's calculate GCF of 5440,7404
| 2 | 5440, 7404 |
| 2 | 2720, 3702 |
| 1360, 1851 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5440,7404 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 7404
:1,2,3,4,6,12,617,1234,1851,2468,3702,7404
Greatest Common Factor
We found the factors 5440,7404 . The biggest common factor number is the GCF number.
So the greatest common factor 5440,7404 is 4.
Lets's calculate LCM of 322,794
| 2 | 322, 794 |
| 161, 397 |
∴ So the LCM of the given numbers is 2 x 161 x 397 = 127834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/127834
Therefore, the GCF of Fractions 5440/322,7404/794 is 4/127834
Least Common Multiple of 322,794 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 322,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,794) x common factors =2 x 1 = 2
LCM(322,794) = ( 322 × 794 ) / 2
LCM(322,794) = 255668 / 2
LCM(322,794) = 127834
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FAQs on GCF of Fractions of 5440/322, 7404/794
1. What is the HCF of 5440,7404?
The HCF of 5440,7404 is 4
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 5440/322, 7404/794?
Answer: GCF of Numerators as per given numbers 5440/322, 7404/794 is
GCF of Numerators i.e. for 5440,7404 is 4
LCM of denominators i.e. for 322,794 is 127834.
Thus, GCF of Fractions is 4/127834.Finally, GCF of Fractions for 5440/322, 7404/794 is 4/127834.