Use our free GCF of Fractions Calculator tool to compute the GCF of 9694/157, 8103/491 i.e 37/77087 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9694/157, 8103/491.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9694/157,8103/491
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 9694/157,8103/491, numerators are 9694,8103
Denominators are 157,491
The GCF of 9694,8103 is 37 .
LCM of 157,491 is 77087.
The greatest common factor of 9694/157,8103/491 = [GCF of 9694,8103]/[LCM of 157,491]= 37/77087
Therefore, the GCF of 9694/157,8103/491 is 37/77087.
To find the highest common factor of 9694,8103, we have to find the factors of both numbers and list the highest common factor.
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The factors of 8103 are 1, 3, 37, 73, 111, 219, 2701, 8103
The HCF of 9694,8103 is 37.
Lets's calculate GCF of 9694,8103
37 | 9694, 8103 |
262, 219 |
∴ So the GCF of the given numbers is 37 = 37
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Now, list down the factors of 8103
:1,3,37,73,111,219,2701,8103
Greatest Common Factor
We found the factors 9694,8103 . The biggest common factor number is the GCF number.
So the greatest common factor 9694,8103 is 37.
Lets's calculate LCM of 157,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 77087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/77087
Therefore, the GCF of Fractions 9694/157,8103/491 is 37/77087
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 157,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,491) x common factors =1 x 1 = 1
LCM(157,491) = ( 157 × 491 ) / 1
LCM(157,491) = 77087 / 1
LCM(157,491) = 77087
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9694,8103?
The HCF of 9694,8103 is 37
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 9694/157, 8103/491?
Answer: GCF of Numerators as per given numbers 9694/157, 8103/491 is
GCF of Numerators i.e. for 9694,8103 is 37
LCM of denominators i.e. for 157,491 is 77087.
Thus, GCF of Fractions is 37/77087.Finally, GCF of Fractions for 9694/157, 8103/491 is 37/77087.