Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/49,69/44,102/403
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 60,69,102
Greatest Common Factor of Numerators i.e. GCF of 60,69,102 is 3 .
LCM of Denominators means LCM of 49,44,403 as per the given fractions.
LCM of 49,44,403 is 868868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,69,102
3 | 60, 69, 102 |
20, 23, 34 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 60,69,102 . The biggest common factor number is the GCF number.
So the greatest common factor 60,69,102 is 3.
Lets's calculate LCM of 49,44,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 868868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/868868
Therefore, the GCF of Fractions 60/49,69/44,102/403 is 3/868868
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 49,44,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,44,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,44,403) x common factors =1 x 1 = 1
LCM(49,44,403) = ( 49 × 44 × 403 ) / 1
LCM(49,44,403) = 868868 / 1
LCM(49,44,403) = 868868
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 60/49, 69/44, 102/403?
Answer: GCF of Numerators as per given numbers 60/49, 69/44, 102/403 is
GCF of Numerators i.e. for 60,69,102 is 3
LCM of denominators i.e. for 49,44,403 is 868868.
Thus, GCF of Fractions is 3/868868.Finally, GCF of Fractions for 60/49, 69/44, 102/403 is 3/868868.