Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 311/260,8751/278
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 311,8751
Greatest Common Factor of Numerators i.e. GCF of 311,8751 is 1 .
LCM of Denominators means LCM of 260,278 as per the given fractions.
LCM of 260,278 is 36140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 311,8751
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 8751
List of positive integer factors of 8751 that divides 8751 without a remainder.
1,3,2917,8751
Greatest Common Factor
We found the factors 311,8751 . The biggest common factor number is the GCF number.
So the greatest common factor 311,8751 is 1.
Lets's calculate LCM of 260,278
2 | 260, 278 |
130, 139 |
∴ So the LCM of the given numbers is 2 x 130 x 139 = 36140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36140
Therefore, the GCF of Fractions 311/260,8751/278 is 1/36140
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 260,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,278) x common factors =2 x 1 = 2
LCM(260,278) = ( 260 × 278 ) / 2
LCM(260,278) = 72280 / 2
LCM(260,278) = 36140
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 311/260, 8751/278?
Answer: GCF of Numerators as per given numbers 311/260, 8751/278 is
GCF of Numerators i.e. for 311,8751 is 1
LCM of denominators i.e. for 260,278 is 36140.
Thus, GCF of Fractions is 1/36140.Finally, GCF of Fractions for 311/260, 8751/278 is 1/36140.