Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 407/28,719/82,721/329
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 407,719,721
Greatest Common Factor of Numerators i.e. GCF of 407,719,721 is 1 .
LCM of Denominators means LCM of 28,82,329 as per the given fractions.
LCM of 28,82,329 is 53956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 407,719,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 407,719,721 . The biggest common factor number is the GCF number.
So the greatest common factor 407,719,721 is 1.
Lets's calculate LCM of 28,82,329
2 | 28, 82, 329 |
7 | 14, 41, 329 |
2, 41, 47 |
∴ So the LCM of the given numbers is 2 x 7 x 2 x 41 x 47 = 53956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53956
Therefore, the GCF of Fractions 407/28,719/82,721/329 is 1/53956
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 28,82,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,82,329) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(28,82,329) x common factors =1 x 14 = 14
LCM(28,82,329) = ( 28 × 82 × 329 ) / 14
LCM(28,82,329) = 755384 / 14
LCM(28,82,329) = 53956
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 407/28, 719/82, 721/329?
Answer: GCF of Numerators as per given numbers 407/28, 719/82, 721/329 is
GCF of Numerators i.e. for 407,719,721 is 1
LCM of denominators i.e. for 28,82,329 is 53956.
Thus, GCF of Fractions is 1/53956.Finally, GCF of Fractions for 407/28, 719/82, 721/329 is 1/53956.