Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 351/264,1414/781
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 351,1414
Greatest Common Factor of Numerators i.e. GCF of 351,1414 is 1 .
LCM of Denominators means LCM of 264,781 as per the given fractions.
LCM of 264,781 is 18744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 351,1414
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 1414
List of positive integer factors of 1414 that divides 1414 without a remainder.
1,2,7,14,101,202,707,1414
Greatest Common Factor
We found the factors 351,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 351,1414 is 1.
Lets's calculate LCM of 264,781
11 | 264, 781 |
24, 71 |
∴ So the LCM of the given numbers is 11 x 24 x 71 = 18744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18744
Therefore, the GCF of Fractions 351/264,1414/781 is 1/18744
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 264,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,781) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(264,781) x common factors =11 x 1 = 11
LCM(264,781) = ( 264 × 781 ) / 11
LCM(264,781) = 206184 / 11
LCM(264,781) = 18744
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 351/264, 1414/781?
Answer: GCF of Numerators as per given numbers 351/264, 1414/781 is
GCF of Numerators i.e. for 351,1414 is 1
LCM of denominators i.e. for 264,781 is 18744.
Thus, GCF of Fractions is 1/18744.Finally, GCF of Fractions for 351/264, 1414/781 is 1/18744.