GCF of 9739/817, 3405/6159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9739/817, 3405/6159 i.e 1/5031903 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9739/817, 3405/6159.
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 9739/817,3405/6159?
Given fractions are 9739/817,3405/6159
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 9739/817,3405/6159, numerators are 9739,3405
Denominators are 817,6159
The GCF of 9739,3405 is 1 .
LCM of 817,6159 is 5031903.
The greatest common factor of 9739/817,3405/6159 = [GCF of 9739,3405]/[LCM of 817,6159]= 1/5031903
Therefore, the GCF of 9739/817,3405/6159 is 1/5031903.
To find the highest common factor of 9739,3405, we have to find the factors of both numbers and list the highest common factor.
The factors of 9739 are 1, 9739
The factors of 3405 are 1, 3, 5, 15, 227, 681, 1135, 3405
The HCF of 9739,3405 is 1.
Lets's calculate GCF of 9739,3405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9739,3405 By Matching Biggest Common Factor Method
Now, list down the factors of 9739
:1,9739
Now, list down the factors of 3405
:1,3,5,15,227,681,1135,3405
Greatest Common Factor
We found the factors 9739,3405 . The biggest common factor number is the GCF number.
So the greatest common factor 9739,3405 is 1.
Lets's calculate LCM of 817,6159
Given numbers has no common factors except 1. So, there LCM is their product i.e 5031903
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5031903
Therefore, the GCF of Fractions 9739/817,3405/6159 is 1/5031903
Least Common Multiple of 817,6159 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 817,6159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,6159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,6159) x common factors =1 x 1 = 1
LCM(817,6159) = ( 817 × 6159 ) / 1
LCM(817,6159) = 5031903 / 1
LCM(817,6159) = 5031903
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FAQs on GCF of Fractions of 9739/817, 3405/6159
1. What is the HCF of 9739,3405?
The HCF of 9739,3405 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 9739/817, 3405/6159?
Answer: GCF of Numerators as per given numbers 9739/817, 3405/6159 is
GCF of Numerators i.e. for 9739,3405 is 1
LCM of denominators i.e. for 817,6159 is 5031903.
Thus, GCF of Fractions is 1/5031903.Finally, GCF of Fractions for 9739/817, 3405/6159 is 1/5031903.