Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3467/333,5660/848
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 3467,5660
Greatest Common Factor of Numerators i.e. GCF of 3467,5660 is 1 .
LCM of Denominators means LCM of 333,848 as per the given fractions.
LCM of 333,848 is 282384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3467,5660
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3467
List of positive integer factors of 3467 that divides 3467 without a remainder.
1,3467
Factors of 5660
List of positive integer factors of 5660 that divides 5660 without a remainder.
1,2,4,5,10,20,283,566,1132,1415,2830,5660
Greatest Common Factor
We found the factors 3467,5660 . The biggest common factor number is the GCF number.
So the greatest common factor 3467,5660 is 1.
Lets's calculate LCM of 333,848
Given numbers has no common factors except 1. So, there LCM is their product i.e 282384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282384
Therefore, the GCF of Fractions 3467/333,5660/848 is 1/282384
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 333,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,848) x common factors =1 x 1 = 1
LCM(333,848) = ( 333 × 848 ) / 1
LCM(333,848) = 282384 / 1
LCM(333,848) = 282384
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 3467/333, 5660/848?
Answer: GCF of Numerators as per given numbers 3467/333, 5660/848 is
GCF of Numerators i.e. for 3467,5660 is 1
LCM of denominators i.e. for 333,848 is 282384.
Thus, GCF of Fractions is 1/282384.Finally, GCF of Fractions for 3467/333, 5660/848 is 1/282384.