GCF of 2305/159, 9353/3995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2305/159, 9353/3995 i.e 1/635205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2305/159, 9353/3995.
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 2305/159,9353/3995?
Given fractions are 2305/159,9353/3995
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 2305/159,9353/3995, numerators are 2305,9353
Denominators are 159,3995
The GCF of 2305,9353 is 1 .
LCM of 159,3995 is 635205.
The greatest common factor of 2305/159,9353/3995 = [GCF of 2305,9353]/[LCM of 159,3995]= 1/635205
Therefore, the GCF of 2305/159,9353/3995 is 1/635205.
To find the highest common factor of 2305,9353, we have to find the factors of both numbers and list the highest common factor.
The factors of 2305 are 1, 5, 461, 2305
The factors of 9353 are 1, 47, 199, 9353
The HCF of 2305,9353 is 1.
Lets's calculate GCF of 2305,9353
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2305,9353 By Matching Biggest Common Factor Method
Now, list down the factors of 2305
:1,5,461,2305
Now, list down the factors of 9353
:1,47,199,9353
Greatest Common Factor
We found the factors 2305,9353 . The biggest common factor number is the GCF number.
So the greatest common factor 2305,9353 is 1.
Lets's calculate LCM of 159,3995
Given numbers has no common factors except 1. So, there LCM is their product i.e 635205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/635205
Therefore, the GCF of Fractions 2305/159,9353/3995 is 1/635205
Least Common Multiple of 159,3995 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 159,3995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,3995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,3995) x common factors =1 x 1 = 1
LCM(159,3995) = ( 159 × 3995 ) / 1
LCM(159,3995) = 635205 / 1
LCM(159,3995) = 635205
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FAQs on GCF of Fractions of 2305/159, 9353/3995
1. What is the HCF of 2305,9353?
The HCF of 2305,9353 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 2305/159, 9353/3995?
Answer: GCF of Numerators as per given numbers 2305/159, 9353/3995 is
GCF of Numerators i.e. for 2305,9353 is 1
LCM of denominators i.e. for 159,3995 is 635205.
Thus, GCF of Fractions is 1/635205.Finally, GCF of Fractions for 2305/159, 9353/3995 is 1/635205.