Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2766/37,8238/332
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 2766,8238
Greatest Common Factor of Numerators i.e. GCF of 2766,8238 is 6 .
LCM of Denominators means LCM of 37,332 as per the given fractions.
LCM of 37,332 is 12284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2766,8238
2 | 2766, 8238 |
3 | 1383, 4119 |
461, 1373 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 2766
List of positive integer factors of 2766 that divides 2766 without a remainder.
1,2,3,6,461,922,1383,2766
Factors of 8238
List of positive integer factors of 8238 that divides 8238 without a remainder.
1,2,3,6,1373,2746,4119,8238
Greatest Common Factor
We found the factors 2766,8238 . The biggest common factor number is the GCF number.
So the greatest common factor 2766,8238 is 6.
Lets's calculate LCM of 37,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 12284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/12284
Therefore, the GCF of Fractions 2766/37,8238/332 is 6/12284
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 37,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,332) x common factors =1 x 1 = 1
LCM(37,332) = ( 37 × 332 ) / 1
LCM(37,332) = 12284 / 1
LCM(37,332) = 12284
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 2766/37, 8238/332?
Answer: GCF of Numerators as per given numbers 2766/37, 8238/332 is
GCF of Numerators i.e. for 2766,8238 is 6
LCM of denominators i.e. for 37,332 is 12284.
Thus, GCF of Fractions is 6/12284.Finally, GCF of Fractions for 2766/37, 8238/332 is 6/12284.