Use our free GCF of Fractions Calculator tool to compute the GCF of 9663/116, 2951/8615 i.e 1/999340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9663/116, 2951/8615.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9663/116,2951/8615
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 9663/116,2951/8615, numerators are 9663,2951
Denominators are 116,8615
The GCF of 9663,2951 is 1 .
LCM of 116,8615 is 999340.
The greatest common factor of 9663/116,2951/8615 = [GCF of 9663,2951]/[LCM of 116,8615]= 1/999340
Therefore, the GCF of 9663/116,2951/8615 is 1/999340.
To find the highest common factor of 9663,2951, we have to find the factors of both numbers and list the highest common factor.
The factors of 9663 are 1, 3, 3221, 9663
The factors of 2951 are 1, 13, 227, 2951
The HCF of 9663,2951 is 1.
Lets's calculate GCF of 9663,2951
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9663
:1,3,3221,9663
Now, list down the factors of 2951
:1,13,227,2951
Greatest Common Factor
We found the factors 9663,2951 . The biggest common factor number is the GCF number.
So the greatest common factor 9663,2951 is 1.
Lets's calculate LCM of 116,8615
Given numbers has no common factors except 1. So, there LCM is their product i.e 999340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/999340
Therefore, the GCF of Fractions 9663/116,2951/8615 is 1/999340
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 116,8615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,8615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,8615) x common factors =1 x 1 = 1
LCM(116,8615) = ( 116 × 8615 ) / 1
LCM(116,8615) = 999340 / 1
LCM(116,8615) = 999340
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9663,2951?
The HCF of 9663,2951 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 9663/116, 2951/8615?
Answer: GCF of Numerators as per given numbers 9663/116, 2951/8615 is
GCF of Numerators i.e. for 9663,2951 is 1
LCM of denominators i.e. for 116,8615 is 999340.
Thus, GCF of Fractions is 1/999340.Finally, GCF of Fractions for 9663/116, 2951/8615 is 1/999340.