Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2212/270,9226/7876
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 2212,9226
Greatest Common Factor of Numerators i.e. GCF of 2212,9226 is 14 .
LCM of Denominators means LCM of 270,7876 as per the given fractions.
LCM of 270,7876 is 1063260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2212,9226
2 | 2212, 9226 |
7 | 1106, 4613 |
158, 659 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 2212
List of positive integer factors of 2212 that divides 2212 without a remainder.
1,2,4,7,14,28,79,158,316,553,1106,2212
Factors of 9226
List of positive integer factors of 9226 that divides 9226 without a remainder.
1,2,7,14,659,1318,4613,9226
Greatest Common Factor
We found the factors 2212,9226 . The biggest common factor number is the GCF number.
So the greatest common factor 2212,9226 is 14.
Lets's calculate LCM of 270,7876
2 | 270, 7876 |
135, 3938 |
∴ So the LCM of the given numbers is 2 x 135 x 3938 = 1063260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1063260
Therefore, the GCF of Fractions 2212/270,9226/7876 is 14/1063260
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 270,7876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,7876) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,7876) x common factors =2 x 1 = 2
LCM(270,7876) = ( 270 × 7876 ) / 2
LCM(270,7876) = 2126520 / 2
LCM(270,7876) = 1063260
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 2212/270, 9226/7876?
Answer: GCF of Numerators as per given numbers 2212/270, 9226/7876 is
GCF of Numerators i.e. for 2212,9226 is 14
LCM of denominators i.e. for 270,7876 is 1063260.
Thus, GCF of Fractions is 14/1063260.Finally, GCF of Fractions for 2212/270, 9226/7876 is 14/1063260.