Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7877/66,3387/792
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 7877,3387
Greatest Common Factor of Numerators i.e. GCF of 7877,3387 is 1 .
LCM of Denominators means LCM of 66,792 as per the given fractions.
LCM of 66,792 is 792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7877,3387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7877
List of positive integer factors of 7877 that divides 7877 without a remainder.
1,7877
Factors of 3387
List of positive integer factors of 3387 that divides 3387 without a remainder.
1,3,1129,3387
Greatest Common Factor
We found the factors 7877,3387 . The biggest common factor number is the GCF number.
So the greatest common factor 7877,3387 is 1.
Lets's calculate LCM of 66,792
2 | 66, 792 |
3 | 33, 396 |
11 | 11, 132 |
1, 12 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 12 = 792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/792
Therefore, the GCF of Fractions 7877/66,3387/792 is 1/792
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 66,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,792) = 66
common factors(in case of two or more numbers have common factors) = 1
GCF(66,792) x common factors =66 x 1 = 66
LCM(66,792) = ( 66 × 792 ) / 66
LCM(66,792) = 52272 / 66
LCM(66,792) = 792
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 7877/66, 3387/792?
Answer: GCF of Numerators as per given numbers 7877/66, 3387/792 is
GCF of Numerators i.e. for 7877,3387 is 1
LCM of denominators i.e. for 66,792 is 792.
Thus, GCF of Fractions is 1/792.Finally, GCF of Fractions for 7877/66, 3387/792 is 1/792.