GCF of 9659/184, 5837/4731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9659/184, 5837/4731 i.e 13/870504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9659/184, 5837/4731.
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 9659/184,5837/4731?
Given fractions are 9659/184,5837/4731
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 9659/184,5837/4731, numerators are 9659,5837
Denominators are 184,4731
The GCF of 9659,5837 is 13 .
LCM of 184,4731 is 870504.
The greatest common factor of 9659/184,5837/4731 = [GCF of 9659,5837]/[LCM of 184,4731]= 13/870504
Therefore, the GCF of 9659/184,5837/4731 is 13/870504.
To find the highest common factor of 9659,5837, we have to find the factors of both numbers and list the highest common factor.
The factors of 9659 are 1, 13, 743, 9659
The factors of 5837 are 1, 13, 449, 5837
The HCF of 9659,5837 is 13.
Lets's calculate GCF of 9659,5837
| 13 | 9659, 5837 |
| 743, 449 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9659,5837 By Matching Biggest Common Factor Method
Now, list down the factors of 9659
:1,13,743,9659
Now, list down the factors of 5837
:1,13,449,5837
Greatest Common Factor
We found the factors 9659,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 9659,5837 is 13.
Lets's calculate LCM of 184,4731
Given numbers has no common factors except 1. So, there LCM is their product i.e 870504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/870504
Therefore, the GCF of Fractions 9659/184,5837/4731 is 13/870504
Least Common Multiple of 184,4731 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 184,4731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,4731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,4731) x common factors =1 x 1 = 1
LCM(184,4731) = ( 184 × 4731 ) / 1
LCM(184,4731) = 870504 / 1
LCM(184,4731) = 870504
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FAQs on GCF of Fractions of 9659/184, 5837/4731
1. What is the HCF of 9659,5837?
The HCF of 9659,5837 is 13
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 9659/184, 5837/4731?
Answer: GCF of Numerators as per given numbers 9659/184, 5837/4731 is
GCF of Numerators i.e. for 9659,5837 is 13
LCM of denominators i.e. for 184,4731 is 870504.
Thus, GCF of Fractions is 13/870504.Finally, GCF of Fractions for 9659/184, 5837/4731 is 13/870504.