GCF of 7385/285, 9913/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7385/285, 9913/415 i.e 1/23655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7385/285, 9913/415.
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 7385/285,9913/415?
Given fractions are 7385/285,9913/415
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 7385/285,9913/415, numerators are 7385,9913
Denominators are 285,415
The GCF of 7385,9913 is 1 .
LCM of 285,415 is 23655.
The greatest common factor of 7385/285,9913/415 = [GCF of 7385,9913]/[LCM of 285,415]= 1/23655
Therefore, the GCF of 7385/285,9913/415 is 1/23655.
To find the highest common factor of 7385,9913, we have to find the factors of both numbers and list the highest common factor.
The factors of 7385 are 1, 5, 7, 35, 211, 1055, 1477, 7385
The factors of 9913 are 1, 23, 431, 9913
The HCF of 7385,9913 is 1.
Lets's calculate GCF of 7385,9913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7385,9913 By Matching Biggest Common Factor Method
Now, list down the factors of 7385
:1,5,7,35,211,1055,1477,7385
Now, list down the factors of 9913
:1,23,431,9913
Greatest Common Factor
We found the factors 7385,9913 . The biggest common factor number is the GCF number.
So the greatest common factor 7385,9913 is 1.
Lets's calculate LCM of 285,415
| 5 | 285, 415 |
| 57, 83 |
∴ So the LCM of the given numbers is 5 x 57 x 83 = 23655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23655
Therefore, the GCF of Fractions 7385/285,9913/415 is 1/23655
Least Common Multiple of 285,415 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 285,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(285,415) x common factors =5 x 1 = 5
LCM(285,415) = ( 285 × 415 ) / 5
LCM(285,415) = 118275 / 5
LCM(285,415) = 23655
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FAQs on GCF of Fractions of 7385/285, 9913/415
1. What is the HCF of 7385,9913?
The HCF of 7385,9913 is 1
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 7385/285, 9913/415?
Answer: GCF of Numerators as per given numbers 7385/285, 9913/415 is
GCF of Numerators i.e. for 7385,9913 is 1
LCM of denominators i.e. for 285,415 is 23655.
Thus, GCF of Fractions is 1/23655.Finally, GCF of Fractions for 7385/285, 9913/415 is 1/23655.