Use our free GCF of Fractions Calculator tool to compute the GCF of 9261/302, 4126/9541 i.e 1/2881382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9261/302, 4126/9541.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9261/302,4126/9541
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 9261/302,4126/9541, numerators are 9261,4126
Denominators are 302,9541
The GCF of 9261,4126 is 1 .
LCM of 302,9541 is 2881382.
The greatest common factor of 9261/302,4126/9541 = [GCF of 9261,4126]/[LCM of 302,9541]= 1/2881382
Therefore, the GCF of 9261/302,4126/9541 is 1/2881382.
To find the highest common factor of 9261,4126, we have to find the factors of both numbers and list the highest common factor.
The factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261
The factors of 4126 are 1, 2, 2063, 4126
The HCF of 9261,4126 is 1.
Lets's calculate GCF of 9261,4126
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9261
:1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261
Now, list down the factors of 4126
:1,2,2063,4126
Greatest Common Factor
We found the factors 9261,4126 . The biggest common factor number is the GCF number.
So the greatest common factor 9261,4126 is 1.
Lets's calculate LCM of 302,9541
Given numbers has no common factors except 1. So, there LCM is their product i.e 2881382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2881382
Therefore, the GCF of Fractions 9261/302,4126/9541 is 1/2881382
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 302,9541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,9541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,9541) x common factors =1 x 1 = 1
LCM(302,9541) = ( 302 × 9541 ) / 1
LCM(302,9541) = 2881382 / 1
LCM(302,9541) = 2881382
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9261,4126?
The HCF of 9261,4126 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 9261/302, 4126/9541?
Answer: GCF of Numerators as per given numbers 9261/302, 4126/9541 is
GCF of Numerators i.e. for 9261,4126 is 1
LCM of denominators i.e. for 302,9541 is 2881382.
Thus, GCF of Fractions is 1/2881382.Finally, GCF of Fractions for 9261/302, 4126/9541 is 1/2881382.