GCF of 6945/424, 9085/4818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6945/424, 9085/4818 i.e 5/1021416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6945/424, 9085/4818.
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 6945/424,9085/4818?
Given fractions are 6945/424,9085/4818
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 6945/424,9085/4818, numerators are 6945,9085
Denominators are 424,4818
The GCF of 6945,9085 is 5 .
LCM of 424,4818 is 1021416.
The greatest common factor of 6945/424,9085/4818 = [GCF of 6945,9085]/[LCM of 424,4818]= 5/1021416
Therefore, the GCF of 6945/424,9085/4818 is 5/1021416.
To find the highest common factor of 6945,9085, we have to find the factors of both numbers and list the highest common factor.
The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945
The factors of 9085 are 1, 5, 23, 79, 115, 395, 1817, 9085
The HCF of 6945,9085 is 5.
Lets's calculate GCF of 6945,9085
| 5 | 6945, 9085 |
| 1389, 1817 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6945,9085 By Matching Biggest Common Factor Method
Now, list down the factors of 6945
:1,3,5,15,463,1389,2315,6945
Now, list down the factors of 9085
:1,5,23,79,115,395,1817,9085
Greatest Common Factor
We found the factors 6945,9085 . The biggest common factor number is the GCF number.
So the greatest common factor 6945,9085 is 5.
Lets's calculate LCM of 424,4818
| 2 | 424, 4818 |
| 212, 2409 |
∴ So the LCM of the given numbers is 2 x 212 x 2409 = 1021416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1021416
Therefore, the GCF of Fractions 6945/424,9085/4818 is 5/1021416
Least Common Multiple of 424,4818 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 424,4818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,4818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,4818) x common factors =2 x 1 = 2
LCM(424,4818) = ( 424 × 4818 ) / 2
LCM(424,4818) = 2042832 / 2
LCM(424,4818) = 1021416
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FAQs on GCF of Fractions of 6945/424, 9085/4818
1. What is the HCF of 6945,9085?
The HCF of 6945,9085 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 6945/424, 9085/4818?
Answer: GCF of Numerators as per given numbers 6945/424, 9085/4818 is
GCF of Numerators i.e. for 6945,9085 is 5
LCM of denominators i.e. for 424,4818 is 1021416.
Thus, GCF of Fractions is 5/1021416.Finally, GCF of Fractions for 6945/424, 9085/4818 is 5/1021416.