GCF of 9242/306, 9537/4359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9242/306, 9537/4359 i.e 1/444618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9242/306, 9537/4359.
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 9242/306,9537/4359?
Given fractions are 9242/306,9537/4359
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 9242/306,9537/4359, numerators are 9242,9537
Denominators are 306,4359
The GCF of 9242,9537 is 1 .
LCM of 306,4359 is 444618.
The greatest common factor of 9242/306,9537/4359 = [GCF of 9242,9537]/[LCM of 306,4359]= 1/444618
Therefore, the GCF of 9242/306,9537/4359 is 1/444618.
To find the highest common factor of 9242,9537, we have to find the factors of both numbers and list the highest common factor.
The factors of 9242 are 1, 2, 4621, 9242
The factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537
The HCF of 9242,9537 is 1.
Lets's calculate GCF of 9242,9537
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9242,9537 By Matching Biggest Common Factor Method
Now, list down the factors of 9242
:1,2,4621,9242
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 9242,9537 . The biggest common factor number is the GCF number.
So the greatest common factor 9242,9537 is 1.
Lets's calculate LCM of 306,4359
| 3 | 306, 4359 |
| 102, 1453 |
∴ So the LCM of the given numbers is 3 x 102 x 1453 = 444618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/444618
Therefore, the GCF of Fractions 9242/306,9537/4359 is 1/444618
Least Common Multiple of 306,4359 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 306,4359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,4359) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(306,4359) x common factors =3 x 1 = 3
LCM(306,4359) = ( 306 × 4359 ) / 3
LCM(306,4359) = 1333854 / 3
LCM(306,4359) = 444618
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FAQs on GCF of Fractions of 9242/306, 9537/4359
1. What is the HCF of 9242,9537?
The HCF of 9242,9537 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 9242/306, 9537/4359?
Answer: GCF of Numerators as per given numbers 9242/306, 9537/4359 is
GCF of Numerators i.e. for 9242,9537 is 1
LCM of denominators i.e. for 306,4359 is 444618.
Thus, GCF of Fractions is 1/444618.Finally, GCF of Fractions for 9242/306, 9537/4359 is 1/444618.