GCF of 9136/327, 7349/2489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9136/327, 7349/2489 i.e 1/813903 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9136/327, 7349/2489.
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 9136/327,7349/2489?
Given fractions are 9136/327,7349/2489
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 9136/327,7349/2489, numerators are 9136,7349
Denominators are 327,2489
The GCF of 9136,7349 is 1 .
LCM of 327,2489 is 813903.
The greatest common factor of 9136/327,7349/2489 = [GCF of 9136,7349]/[LCM of 327,2489]= 1/813903
Therefore, the GCF of 9136/327,7349/2489 is 1/813903.
To find the highest common factor of 9136,7349, we have to find the factors of both numbers and list the highest common factor.
The factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136
The factors of 7349 are 1, 7349
The HCF of 9136,7349 is 1.
Lets's calculate GCF of 9136,7349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9136,7349 By Matching Biggest Common Factor Method
Now, list down the factors of 9136
:1,2,4,8,16,571,1142,2284,4568,9136
Now, list down the factors of 7349
:1,7349
Greatest Common Factor
We found the factors 9136,7349 . The biggest common factor number is the GCF number.
So the greatest common factor 9136,7349 is 1.
Lets's calculate LCM of 327,2489
Given numbers has no common factors except 1. So, there LCM is their product i.e 813903
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/813903
Therefore, the GCF of Fractions 9136/327,7349/2489 is 1/813903
Least Common Multiple of 327,2489 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 327,2489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,2489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,2489) x common factors =1 x 1 = 1
LCM(327,2489) = ( 327 × 2489 ) / 1
LCM(327,2489) = 813903 / 1
LCM(327,2489) = 813903
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FAQs on GCF of Fractions of 9136/327, 7349/2489
1. What is the HCF of 9136,7349?
The HCF of 9136,7349 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 9136/327, 7349/2489?
Answer: GCF of Numerators as per given numbers 9136/327, 7349/2489 is
GCF of Numerators i.e. for 9136,7349 is 1
LCM of denominators i.e. for 327,2489 is 813903.
Thus, GCF of Fractions is 1/813903.Finally, GCF of Fractions for 9136/327, 7349/2489 is 1/813903.