Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 441/51,514/65,111/956
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 441,514,111
Greatest Common Factor of Numerators i.e. GCF of 441,514,111 is 1 .
LCM of Denominators means LCM of 51,65,956 as per the given fractions.
LCM of 51,65,956 is 3169140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 441,514,111
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 441,514,111 . The biggest common factor number is the GCF number.
So the greatest common factor 441,514,111 is 1.
Lets's calculate LCM of 51,65,956
Given numbers has no common factors except 1. So, there LCM is their product i.e 3169140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3169140
Therefore, the GCF of Fractions 441/51,514/65,111/956 is 1/3169140
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 51,65,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,65,956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,65,956) x common factors =1 x 1 = 1
LCM(51,65,956) = ( 51 × 65 × 956 ) / 1
LCM(51,65,956) = 3169140 / 1
LCM(51,65,956) = 3169140
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 441/51, 514/65, 111/956?
Answer: GCF of Numerators as per given numbers 441/51, 514/65, 111/956 is
GCF of Numerators i.e. for 441,514,111 is 1
LCM of denominators i.e. for 51,65,956 is 3169140.
Thus, GCF of Fractions is 1/3169140.Finally, GCF of Fractions for 441/51, 514/65, 111/956 is 1/3169140.