GCF of 9901/138, 5967/185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9901/138, 5967/185 i.e 1/25530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9901/138, 5967/185.
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 9901/138,5967/185?
Given fractions are 9901/138,5967/185
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 9901/138,5967/185, numerators are 9901,5967
Denominators are 138,185
The GCF of 9901,5967 is 1 .
LCM of 138,185 is 25530.
The greatest common factor of 9901/138,5967/185 = [GCF of 9901,5967]/[LCM of 138,185]= 1/25530
Therefore, the GCF of 9901/138,5967/185 is 1/25530.
To find the highest common factor of 9901,5967, we have to find the factors of both numbers and list the highest common factor.
The factors of 9901 are 1, 9901
The factors of 5967 are 1, 3, 9, 13, 17, 27, 39, 51, 117, 153, 221, 351, 459, 663, 1989, 5967
The HCF of 9901,5967 is 1.
Lets's calculate GCF of 9901,5967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9901,5967 By Matching Biggest Common Factor Method
Now, list down the factors of 9901
:1,9901
Now, list down the factors of 5967
:1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967
Greatest Common Factor
We found the factors 9901,5967 . The biggest common factor number is the GCF number.
So the greatest common factor 9901,5967 is 1.
Lets's calculate LCM of 138,185
Given numbers has no common factors except 1. So, there LCM is their product i.e 25530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25530
Therefore, the GCF of Fractions 9901/138,5967/185 is 1/25530
Least Common Multiple of 138,185 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 138,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(138,185) x common factors =1 x 1 = 1
LCM(138,185) = ( 138 × 185 ) / 1
LCM(138,185) = 25530 / 1
LCM(138,185) = 25530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9901/138, 5967/185
1. What is the HCF of 9901,5967?
The HCF of 9901,5967 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 9901/138, 5967/185?
Answer: GCF of Numerators as per given numbers 9901/138, 5967/185 is
GCF of Numerators i.e. for 9901,5967 is 1
LCM of denominators i.e. for 138,185 is 25530.
Thus, GCF of Fractions is 1/25530.Finally, GCF of Fractions for 9901/138, 5967/185 is 1/25530.