Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/251,643/944,288/809
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 47,643,288
Greatest Common Factor of Numerators i.e. GCF of 47,643,288 is 1 .
LCM of Denominators means LCM of 251,944,809 as per the given fractions.
LCM of 251,944,809 is 191687696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,643,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 47,643,288 . The biggest common factor number is the GCF number.
So the greatest common factor 47,643,288 is 1.
Lets's calculate LCM of 251,944,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 191687696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191687696
Therefore, the GCF of Fractions 47/251,643/944,288/809 is 1/191687696
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 251,944,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,944,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,944,809) x common factors =1 x 1 = 1
LCM(251,944,809) = ( 251 × 944 × 809 ) / 1
LCM(251,944,809) = 191687696 / 1
LCM(251,944,809) = 191687696
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 47/251, 643/944, 288/809?
Answer: GCF of Numerators as per given numbers 47/251, 643/944, 288/809 is
GCF of Numerators i.e. for 47,643,288 is 1
LCM of denominators i.e. for 251,944,809 is 191687696.
Thus, GCF of Fractions is 1/191687696.Finally, GCF of Fractions for 47/251, 643/944, 288/809 is 1/191687696.