GCF of 6145/139, 5440/4137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6145/139, 5440/4137 i.e 5/575043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6145/139, 5440/4137.
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 6145/139,5440/4137?
Given fractions are 6145/139,5440/4137
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 6145/139,5440/4137, numerators are 6145,5440
Denominators are 139,4137
The GCF of 6145,5440 is 5 .
LCM of 139,4137 is 575043.
The greatest common factor of 6145/139,5440/4137 = [GCF of 6145,5440]/[LCM of 139,4137]= 5/575043
Therefore, the GCF of 6145/139,5440/4137 is 5/575043.
To find the highest common factor of 6145,5440, we have to find the factors of both numbers and list the highest common factor.
The factors of 6145 are 1, 5, 1229, 6145
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 HCF of 6145,5440 is 5.
Lets's calculate GCF of 6145,5440
| 5 | 6145, 5440 |
| 1229, 1088 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6145,5440 By Matching Biggest Common Factor Method
Now, list down the factors of 6145
:1,5,1229,6145
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
Greatest Common Factor
We found the factors 6145,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 6145,5440 is 5.
Lets's calculate LCM of 139,4137
Given numbers has no common factors except 1. So, there LCM is their product i.e 575043
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/575043
Therefore, the GCF of Fractions 6145/139,5440/4137 is 5/575043
Least Common Multiple of 139,4137 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 139,4137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,4137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,4137) x common factors =1 x 1 = 1
LCM(139,4137) = ( 139 × 4137 ) / 1
LCM(139,4137) = 575043 / 1
LCM(139,4137) = 575043
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FAQs on GCF of Fractions of 6145/139, 5440/4137
1. What is the HCF of 6145,5440?
The HCF of 6145,5440 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 6145/139, 5440/4137?
Answer: GCF of Numerators as per given numbers 6145/139, 5440/4137 is
GCF of Numerators i.e. for 6145,5440 is 5
LCM of denominators i.e. for 139,4137 is 575043.
Thus, GCF of Fractions is 5/575043.Finally, GCF of Fractions for 6145/139, 5440/4137 is 5/575043.