GCF of 5109/403, 7245/4946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5109/403, 7245/4946 i.e 3/1993238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5109/403, 7245/4946.
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 5109/403,7245/4946?
Given fractions are 5109/403,7245/4946
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 5109/403,7245/4946, numerators are 5109,7245
Denominators are 403,4946
The GCF of 5109,7245 is 3 .
LCM of 403,4946 is 1993238.
The greatest common factor of 5109/403,7245/4946 = [GCF of 5109,7245]/[LCM of 403,4946]= 3/1993238
Therefore, the GCF of 5109/403,7245/4946 is 3/1993238.
To find the highest common factor of 5109,7245, we have to find the factors of both numbers and list the highest common factor.
The factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109
The factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
The HCF of 5109,7245 is 3.
Lets's calculate GCF of 5109,7245
| 3 | 5109, 7245 |
| 1703, 2415 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5109,7245 By Matching Biggest Common Factor Method
Now, list down the factors of 5109
:1,3,13,39,131,393,1703,5109
Now, list down the factors of 7245
:1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Greatest Common Factor
We found the factors 5109,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 5109,7245 is 3.
Lets's calculate LCM of 403,4946
Given numbers has no common factors except 1. So, there LCM is their product i.e 1993238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1993238
Therefore, the GCF of Fractions 5109/403,7245/4946 is 3/1993238
Least Common Multiple of 403,4946 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 403,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,4946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,4946) x common factors =1 x 1 = 1
LCM(403,4946) = ( 403 × 4946 ) / 1
LCM(403,4946) = 1993238 / 1
LCM(403,4946) = 1993238
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FAQs on GCF of Fractions of 5109/403, 7245/4946
1. What is the HCF of 5109,7245?
The HCF of 5109,7245 is 3
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 5109/403, 7245/4946?
Answer: GCF of Numerators as per given numbers 5109/403, 7245/4946 is
GCF of Numerators i.e. for 5109,7245 is 3
LCM of denominators i.e. for 403,4946 is 1993238.
Thus, GCF of Fractions is 3/1993238.Finally, GCF of Fractions for 5109/403, 7245/4946 is 3/1993238.