Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2266/237,2936/1278
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 2266,2936
Greatest Common Factor of Numerators i.e. GCF of 2266,2936 is 2 .
LCM of Denominators means LCM of 237,1278 as per the given fractions.
LCM of 237,1278 is 100962 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2266,2936
2 | 2266, 2936 |
1133, 1468 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2266
List of positive integer factors of 2266 that divides 2266 without a remainder.
1,2,11,22,103,206,1133,2266
Factors of 2936
List of positive integer factors of 2936 that divides 2936 without a remainder.
1,2,4,8,367,734,1468,2936
Greatest Common Factor
We found the factors 2266,2936 . The biggest common factor number is the GCF number.
So the greatest common factor 2266,2936 is 2.
Lets's calculate LCM of 237,1278
3 | 237, 1278 |
79, 426 |
∴ So the LCM of the given numbers is 3 x 79 x 426 = 100962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100962
Therefore, the GCF of Fractions 2266/237,2936/1278 is 2/100962
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 237,1278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,1278) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(237,1278) x common factors =3 x 1 = 3
LCM(237,1278) = ( 237 × 1278 ) / 3
LCM(237,1278) = 302886 / 3
LCM(237,1278) = 100962
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 2266/237, 2936/1278?
Answer: GCF of Numerators as per given numbers 2266/237, 2936/1278 is
GCF of Numerators i.e. for 2266,2936 is 2
LCM of denominators i.e. for 237,1278 is 100962.
Thus, GCF of Fractions is 2/100962.Finally, GCF of Fractions for 2266/237, 2936/1278 is 2/100962.