Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9681/103,6444/1168
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 9681,6444
Greatest Common Factor of Numerators i.e. GCF of 9681,6444 is 3 .
LCM of Denominators means LCM of 103,1168 as per the given fractions.
LCM of 103,1168 is 120304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9681,6444
3 | 9681, 6444 |
3227, 2148 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9681
List of positive integer factors of 9681 that divides 9681 without a remainder.
1,3,7,21,461,1383,3227,9681
Factors of 6444
List of positive integer factors of 6444 that divides 6444 without a remainder.
1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444
Greatest Common Factor
We found the factors 9681,6444 . The biggest common factor number is the GCF number.
So the greatest common factor 9681,6444 is 3.
Lets's calculate LCM of 103,1168
Given numbers has no common factors except 1. So, there LCM is their product i.e 120304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/120304
Therefore, the GCF of Fractions 9681/103,6444/1168 is 3/120304
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 103,1168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,1168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,1168) x common factors =1 x 1 = 1
LCM(103,1168) = ( 103 × 1168 ) / 1
LCM(103,1168) = 120304 / 1
LCM(103,1168) = 120304
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 9681/103, 6444/1168?
Answer: GCF of Numerators as per given numbers 9681/103, 6444/1168 is
GCF of Numerators i.e. for 9681,6444 is 3
LCM of denominators i.e. for 103,1168 is 120304.
Thus, GCF of Fractions is 3/120304.Finally, GCF of Fractions for 9681/103, 6444/1168 is 3/120304.