GCF of 9117/545, 4913/5735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9117/545, 4913/5735 i.e 1/625115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9117/545, 4913/5735.
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 9117/545,4913/5735?
Given fractions are 9117/545,4913/5735
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 9117/545,4913/5735, numerators are 9117,4913
Denominators are 545,5735
The GCF of 9117,4913 is 1 .
LCM of 545,5735 is 625115.
The greatest common factor of 9117/545,4913/5735 = [GCF of 9117,4913]/[LCM of 545,5735]= 1/625115
Therefore, the GCF of 9117/545,4913/5735 is 1/625115.
To find the highest common factor of 9117,4913, we have to find the factors of both numbers and list the highest common factor.
The factors of 9117 are 1, 3, 9, 1013, 3039, 9117
The factors of 4913 are 1, 17, 289, 4913
The HCF of 9117,4913 is 1.
Lets's calculate GCF of 9117,4913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9117,4913 By Matching Biggest Common Factor Method
Now, list down the factors of 9117
:1,3,9,1013,3039,9117
Now, list down the factors of 4913
:1,17,289,4913
Greatest Common Factor
We found the factors 9117,4913 . The biggest common factor number is the GCF number.
So the greatest common factor 9117,4913 is 1.
Lets's calculate LCM of 545,5735
| 5 | 545, 5735 |
| 109, 1147 |
∴ So the LCM of the given numbers is 5 x 109 x 1147 = 625115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/625115
Therefore, the GCF of Fractions 9117/545,4913/5735 is 1/625115
Least Common Multiple of 545,5735 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 545,5735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,5735) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(545,5735) x common factors =5 x 1 = 5
LCM(545,5735) = ( 545 × 5735 ) / 5
LCM(545,5735) = 3125575 / 5
LCM(545,5735) = 625115
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FAQs on GCF of Fractions of 9117/545, 4913/5735
1. What is the HCF of 9117,4913?
The HCF of 9117,4913 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 9117/545, 4913/5735?
Answer: GCF of Numerators as per given numbers 9117/545, 4913/5735 is
GCF of Numerators i.e. for 9117,4913 is 1
LCM of denominators i.e. for 545,5735 is 625115.
Thus, GCF of Fractions is 1/625115.Finally, GCF of Fractions for 9117/545, 4913/5735 is 1/625115.