Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1863/807,3365/890
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 1863,3365
Greatest Common Factor of Numerators i.e. GCF of 1863,3365 is 1 .
LCM of Denominators means LCM of 807,890 as per the given fractions.
LCM of 807,890 is 718230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1863,3365
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1863
List of positive integer factors of 1863 that divides 1863 without a remainder.
1,3,9,23,27,69,81,207,621,1863
Factors of 3365
List of positive integer factors of 3365 that divides 3365 without a remainder.
1,5,673,3365
Greatest Common Factor
We found the factors 1863,3365 . The biggest common factor number is the GCF number.
So the greatest common factor 1863,3365 is 1.
Lets's calculate LCM of 807,890
Given numbers has no common factors except 1. So, there LCM is their product i.e 718230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718230
Therefore, the GCF of Fractions 1863/807,3365/890 is 1/718230
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 807,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,890) x common factors =1 x 1 = 1
LCM(807,890) = ( 807 × 890 ) / 1
LCM(807,890) = 718230 / 1
LCM(807,890) = 718230
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 1863/807, 3365/890?
Answer: GCF of Numerators as per given numbers 1863/807, 3365/890 is
GCF of Numerators i.e. for 1863,3365 is 1
LCM of denominators i.e. for 807,890 is 718230.
Thus, GCF of Fractions is 1/718230.Finally, GCF of Fractions for 1863/807, 3365/890 is 1/718230.