GCF of 5740/514, 3265/8685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5740/514, 3265/8685 i.e 5/4464090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5740/514, 3265/8685.
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 5740/514,3265/8685?
Given fractions are 5740/514,3265/8685
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 5740/514,3265/8685, numerators are 5740,3265
Denominators are 514,8685
The GCF of 5740,3265 is 5 .
LCM of 514,8685 is 4464090.
The greatest common factor of 5740/514,3265/8685 = [GCF of 5740,3265]/[LCM of 514,8685]= 5/4464090
Therefore, the GCF of 5740/514,3265/8685 is 5/4464090.
To find the highest common factor of 5740,3265, we have to find the factors of both numbers and list the highest common factor.
The factors of 5740 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 70, 82, 140, 164, 205, 287, 410, 574, 820, 1148, 1435, 2870, 5740
The factors of 3265 are 1, 5, 653, 3265
The HCF of 5740,3265 is 5.
Lets's calculate GCF of 5740,3265
| 5 | 5740, 3265 |
| 1148, 653 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5740,3265 By Matching Biggest Common Factor Method
Now, list down the factors of 5740
:1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740
Now, list down the factors of 3265
:1,5,653,3265
Greatest Common Factor
We found the factors 5740,3265 . The biggest common factor number is the GCF number.
So the greatest common factor 5740,3265 is 5.
Lets's calculate LCM of 514,8685
Given numbers has no common factors except 1. So, there LCM is their product i.e 4464090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4464090
Therefore, the GCF of Fractions 5740/514,3265/8685 is 5/4464090
Least Common Multiple of 514,8685 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 514,8685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,8685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,8685) x common factors =1 x 1 = 1
LCM(514,8685) = ( 514 × 8685 ) / 1
LCM(514,8685) = 4464090 / 1
LCM(514,8685) = 4464090
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FAQs on GCF of Fractions of 5740/514, 3265/8685
1. What is the HCF of 5740,3265?
The HCF of 5740,3265 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 5740/514, 3265/8685?
Answer: GCF of Numerators as per given numbers 5740/514, 3265/8685 is
GCF of Numerators i.e. for 5740,3265 is 5
LCM of denominators i.e. for 514,8685 is 4464090.
Thus, GCF of Fractions is 5/4464090.Finally, GCF of Fractions for 5740/514, 3265/8685 is 5/4464090.