Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/25,11/95,396/26
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 22,11,396
Greatest Common Factor of Numerators i.e. GCF of 22,11,396 is 11 .
LCM of Denominators means LCM of 25,95,26 as per the given fractions.
LCM of 25,95,26 is 12350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 22,11,396
11 | 22, 11, 396 |
2, 1, 36 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 22,11,396 . The biggest common factor number is the GCF number.
So the greatest common factor 22,11,396 is 11.
Lets's calculate LCM of 25,95,26
5 | 25, 95, 26 |
5, 19, 26 |
∴ So the LCM of the given numbers is 5 x 5 x 19 x 26 = 12350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/12350
Therefore, the GCF of Fractions 22/25,11/95,396/26 is 11/12350
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 25,95,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,95,26) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(25,95,26) x common factors =1 x 5 = 5
LCM(25,95,26) = ( 25 × 95 × 26 ) / 5
LCM(25,95,26) = 61750 / 5
LCM(25,95,26) = 12350
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 22/25, 11/95, 396/26?
Answer: GCF of Numerators as per given numbers 22/25, 11/95, 396/26 is
GCF of Numerators i.e. for 22,11,396 is 11
LCM of denominators i.e. for 25,95,26 is 12350.
Thus, GCF of Fractions is 11/12350.Finally, GCF of Fractions for 22/25, 11/95, 396/26 is 11/12350.