GCF of 9516/404, 7013/5779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9516/404, 7013/5779 i.e 1/2334716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9516/404, 7013/5779.
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 9516/404,7013/5779?
Given fractions are 9516/404,7013/5779
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 9516/404,7013/5779, numerators are 9516,7013
Denominators are 404,5779
The GCF of 9516,7013 is 1 .
LCM of 404,5779 is 2334716.
The greatest common factor of 9516/404,7013/5779 = [GCF of 9516,7013]/[LCM of 404,5779]= 1/2334716
Therefore, the GCF of 9516/404,7013/5779 is 1/2334716.
To find the highest common factor of 9516,7013, we have to find the factors of both numbers and list the highest common factor.
The factors of 9516 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516
The factors of 7013 are 1, 7013
The HCF of 9516,7013 is 1.
Lets's calculate GCF of 9516,7013
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9516,7013 By Matching Biggest Common Factor Method
Now, list down the factors of 9516
:1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516
Now, list down the factors of 7013
:1,7013
Greatest Common Factor
We found the factors 9516,7013 . The biggest common factor number is the GCF number.
So the greatest common factor 9516,7013 is 1.
Lets's calculate LCM of 404,5779
Given numbers has no common factors except 1. So, there LCM is their product i.e 2334716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2334716
Therefore, the GCF of Fractions 9516/404,7013/5779 is 1/2334716
Least Common Multiple of 404,5779 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 404,5779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,5779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,5779) x common factors =1 x 1 = 1
LCM(404,5779) = ( 404 × 5779 ) / 1
LCM(404,5779) = 2334716 / 1
LCM(404,5779) = 2334716
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9516/404, 7013/5779
1. What is the HCF of 9516,7013?
The HCF of 9516,7013 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 9516/404, 7013/5779?
Answer: GCF of Numerators as per given numbers 9516/404, 7013/5779 is
GCF of Numerators i.e. for 9516,7013 is 1
LCM of denominators i.e. for 404,5779 is 2334716.
Thus, GCF of Fractions is 1/2334716.Finally, GCF of Fractions for 9516/404, 7013/5779 is 1/2334716.