GCF of 1515/849, 2309/8155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1515/849, 2309/8155 i.e 1/6923595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1515/849, 2309/8155.
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 1515/849,2309/8155?
Given fractions are 1515/849,2309/8155
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 1515/849,2309/8155, numerators are 1515,2309
Denominators are 849,8155
The GCF of 1515,2309 is 1 .
LCM of 849,8155 is 6923595.
The greatest common factor of 1515/849,2309/8155 = [GCF of 1515,2309]/[LCM of 849,8155]= 1/6923595
Therefore, the GCF of 1515/849,2309/8155 is 1/6923595.
To find the highest common factor of 1515,2309, we have to find the factors of both numbers and list the highest common factor.
The factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515
The factors of 2309 are 1, 2309
The HCF of 1515,2309 is 1.
Lets's calculate GCF of 1515,2309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1515,2309 By Matching Biggest Common Factor Method
Now, list down the factors of 1515
:1,3,5,15,101,303,505,1515
Now, list down the factors of 2309
:1,2309
Greatest Common Factor
We found the factors 1515,2309 . The biggest common factor number is the GCF number.
So the greatest common factor 1515,2309 is 1.
Lets's calculate LCM of 849,8155
Given numbers has no common factors except 1. So, there LCM is their product i.e 6923595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6923595
Therefore, the GCF of Fractions 1515/849,2309/8155 is 1/6923595
Least Common Multiple of 849,8155 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 849,8155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,8155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,8155) x common factors =1 x 1 = 1
LCM(849,8155) = ( 849 × 8155 ) / 1
LCM(849,8155) = 6923595 / 1
LCM(849,8155) = 6923595
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FAQs on GCF of Fractions of 1515/849, 2309/8155
1. What is the HCF of 1515,2309?
The HCF of 1515,2309 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 1515/849, 2309/8155?
Answer: GCF of Numerators as per given numbers 1515/849, 2309/8155 is
GCF of Numerators i.e. for 1515,2309 is 1
LCM of denominators i.e. for 849,8155 is 6923595.
Thus, GCF of Fractions is 1/6923595.Finally, GCF of Fractions for 1515/849, 2309/8155 is 1/6923595.