GCF of 9935/78, 9537/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9935/78, 9537/242 i.e 1/9438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9935/78, 9537/242.
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 9935/78,9537/242?
Given fractions are 9935/78,9537/242
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 9935/78,9537/242, numerators are 9935,9537
Denominators are 78,242
The GCF of 9935,9537 is 1 .
LCM of 78,242 is 9438.
The greatest common factor of 9935/78,9537/242 = [GCF of 9935,9537]/[LCM of 78,242]= 1/9438
Therefore, the GCF of 9935/78,9537/242 is 1/9438.
To find the highest common factor of 9935,9537, we have to find the factors of both numbers and list the highest common factor.
The factors of 9935 are 1, 5, 1987, 9935
The factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537
The HCF of 9935,9537 is 1.
Lets's calculate GCF of 9935,9537
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9935,9537 By Matching Biggest Common Factor Method
Now, list down the factors of 9935
:1,5,1987,9935
Now, list down the factors of 9537
:1,3,11,17,33,51,187,289,561,867,3179,9537
Greatest Common Factor
We found the factors 9935,9537 . The biggest common factor number is the GCF number.
So the greatest common factor 9935,9537 is 1.
Lets's calculate LCM of 78,242
| 2 | 78, 242 |
| 39, 121 |
∴ So the LCM of the given numbers is 2 x 39 x 121 = 9438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9438
Therefore, the GCF of Fractions 9935/78,9537/242 is 1/9438
Least Common Multiple of 78,242 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 78,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,242) x common factors =2 x 1 = 2
LCM(78,242) = ( 78 × 242 ) / 2
LCM(78,242) = 18876 / 2
LCM(78,242) = 9438
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FAQs on GCF of Fractions of 9935/78, 9537/242
1. What is the HCF of 9935,9537?
The HCF of 9935,9537 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 9935/78, 9537/242?
Answer: GCF of Numerators as per given numbers 9935/78, 9537/242 is
GCF of Numerators i.e. for 9935,9537 is 1
LCM of denominators i.e. for 78,242 is 9438.
Thus, GCF of Fractions is 1/9438.Finally, GCF of Fractions for 9935/78, 9537/242 is 1/9438.