Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 451/287,9561/6915
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 451,9561
Greatest Common Factor of Numerators i.e. GCF of 451,9561 is 1 .
LCM of Denominators means LCM of 287,6915 as per the given fractions.
LCM of 287,6915 is 1984605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 451,9561
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 9561
List of positive integer factors of 9561 that divides 9561 without a remainder.
1,3,3187,9561
Greatest Common Factor
We found the factors 451,9561 . The biggest common factor number is the GCF number.
So the greatest common factor 451,9561 is 1.
Lets's calculate LCM of 287,6915
Given numbers has no common factors except 1. So, there LCM is their product i.e 1984605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1984605
Therefore, the GCF of Fractions 451/287,9561/6915 is 1/1984605
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 287,6915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,6915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,6915) x common factors =1 x 1 = 1
LCM(287,6915) = ( 287 × 6915 ) / 1
LCM(287,6915) = 1984605 / 1
LCM(287,6915) = 1984605
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 451/287, 9561/6915?
Answer: GCF of Numerators as per given numbers 451/287, 9561/6915 is
GCF of Numerators i.e. for 451,9561 is 1
LCM of denominators i.e. for 287,6915 is 1984605.
Thus, GCF of Fractions is 1/1984605.Finally, GCF of Fractions for 451/287, 9561/6915 is 1/1984605.