GCF of 8993/362, 9610/939
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8993/362, 9610/939 i.e 1/339918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8993/362, 9610/939.
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 8993/362,9610/939?
Given fractions are 8993/362,9610/939
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 8993/362,9610/939, numerators are 8993,9610
Denominators are 362,939
The GCF of 8993,9610 is 1 .
LCM of 362,939 is 339918.
The greatest common factor of 8993/362,9610/939 = [GCF of 8993,9610]/[LCM of 362,939]= 1/339918
Therefore, the GCF of 8993/362,9610/939 is 1/339918.
To find the highest common factor of 8993,9610, we have to find the factors of both numbers and list the highest common factor.
The factors of 8993 are 1, 17, 23, 391, 529, 8993
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The HCF of 8993,9610 is 1.
Lets's calculate GCF of 8993,9610
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8993,9610 By Matching Biggest Common Factor Method
Now, list down the factors of 8993
:1,17,23,391,529,8993
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Greatest Common Factor
We found the factors 8993,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 8993,9610 is 1.
Lets's calculate LCM of 362,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 339918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339918
Therefore, the GCF of Fractions 8993/362,9610/939 is 1/339918
Least Common Multiple of 362,939 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 362,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,939) x common factors =1 x 1 = 1
LCM(362,939) = ( 362 × 939 ) / 1
LCM(362,939) = 339918 / 1
LCM(362,939) = 339918
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8993/362, 9610/939
1. What is the HCF of 8993,9610?
The HCF of 8993,9610 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 8993/362, 9610/939?
Answer: GCF of Numerators as per given numbers 8993/362, 9610/939 is
GCF of Numerators i.e. for 8993,9610 is 1
LCM of denominators i.e. for 362,939 is 339918.
Thus, GCF of Fractions is 1/339918.Finally, GCF of Fractions for 8993/362, 9610/939 is 1/339918.