Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2726/99,8392/139
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 2726,8392
Greatest Common Factor of Numerators i.e. GCF of 2726,8392 is 2 .
LCM of Denominators means LCM of 99,139 as per the given fractions.
LCM of 99,139 is 13761 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2726,8392
2 | 2726, 8392 |
1363, 4196 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2726
List of positive integer factors of 2726 that divides 2726 without a remainder.
1,2,29,47,58,94,1363,2726
Factors of 8392
List of positive integer factors of 8392 that divides 8392 without a remainder.
1,2,4,8,1049,2098,4196,8392
Greatest Common Factor
We found the factors 2726,8392 . The biggest common factor number is the GCF number.
So the greatest common factor 2726,8392 is 2.
Lets's calculate LCM of 99,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 13761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13761
Therefore, the GCF of Fractions 2726/99,8392/139 is 2/13761
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 99,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,139) x common factors =1 x 1 = 1
LCM(99,139) = ( 99 × 139 ) / 1
LCM(99,139) = 13761 / 1
LCM(99,139) = 13761
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 2726/99, 8392/139?
Answer: GCF of Numerators as per given numbers 2726/99, 8392/139 is
GCF of Numerators i.e. for 2726,8392 is 2
LCM of denominators i.e. for 99,139 is 13761.
Thus, GCF of Fractions is 2/13761.Finally, GCF of Fractions for 2726/99, 8392/139 is 2/13761.