GCF of 9915/113, 9962/5964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9915/113, 9962/5964 i.e 1/673932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9915/113, 9962/5964.
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 9915/113,9962/5964?
Given fractions are 9915/113,9962/5964
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 9915/113,9962/5964, numerators are 9915,9962
Denominators are 113,5964
The GCF of 9915,9962 is 1 .
LCM of 113,5964 is 673932.
The greatest common factor of 9915/113,9962/5964 = [GCF of 9915,9962]/[LCM of 113,5964]= 1/673932
Therefore, the GCF of 9915/113,9962/5964 is 1/673932.
To find the highest common factor of 9915,9962, we have to find the factors of both numbers and list the highest common factor.
The factors of 9915 are 1, 3, 5, 15, 661, 1983, 3305, 9915
The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962
The HCF of 9915,9962 is 1.
Lets's calculate GCF of 9915,9962
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9915,9962 By Matching Biggest Common Factor Method
Now, list down the factors of 9915
:1,3,5,15,661,1983,3305,9915
Now, list down the factors of 9962
:1,2,17,34,293,586,4981,9962
Greatest Common Factor
We found the factors 9915,9962 . The biggest common factor number is the GCF number.
So the greatest common factor 9915,9962 is 1.
Lets's calculate LCM of 113,5964
Given numbers has no common factors except 1. So, there LCM is their product i.e 673932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673932
Therefore, the GCF of Fractions 9915/113,9962/5964 is 1/673932
Least Common Multiple of 113,5964 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 113,5964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,5964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,5964) x common factors =1 x 1 = 1
LCM(113,5964) = ( 113 × 5964 ) / 1
LCM(113,5964) = 673932 / 1
LCM(113,5964) = 673932
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FAQs on GCF of Fractions of 9915/113, 9962/5964
1. What is the HCF of 9915,9962?
The HCF of 9915,9962 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 9915/113, 9962/5964?
Answer: GCF of Numerators as per given numbers 9915/113, 9962/5964 is
GCF of Numerators i.e. for 9915,9962 is 1
LCM of denominators i.e. for 113,5964 is 673932.
Thus, GCF of Fractions is 1/673932.Finally, GCF of Fractions for 9915/113, 9962/5964 is 1/673932.