Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1217/890,3594/1849
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 1217,3594
Greatest Common Factor of Numerators i.e. GCF of 1217,3594 is 1 .
LCM of Denominators means LCM of 890,1849 as per the given fractions.
LCM of 890,1849 is 1645610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1217,3594
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1217
List of positive integer factors of 1217 that divides 1217 without a remainder.
1,1217
Factors of 3594
List of positive integer factors of 3594 that divides 3594 without a remainder.
1,2,3,6,599,1198,1797,3594
Greatest Common Factor
We found the factors 1217,3594 . The biggest common factor number is the GCF number.
So the greatest common factor 1217,3594 is 1.
Lets's calculate LCM of 890,1849
Given numbers has no common factors except 1. So, there LCM is their product i.e 1645610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1645610
Therefore, the GCF of Fractions 1217/890,3594/1849 is 1/1645610
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 890,1849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,1849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(890,1849) x common factors =1 x 1 = 1
LCM(890,1849) = ( 890 × 1849 ) / 1
LCM(890,1849) = 1645610 / 1
LCM(890,1849) = 1645610
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 1217/890, 3594/1849?
Answer: GCF of Numerators as per given numbers 1217/890, 3594/1849 is
GCF of Numerators i.e. for 1217,3594 is 1
LCM of denominators i.e. for 890,1849 is 1645610.
Thus, GCF of Fractions is 1/1645610.Finally, GCF of Fractions for 1217/890, 3594/1849 is 1/1645610.