Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6541/833,3890/2183
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 6541,3890
Greatest Common Factor of Numerators i.e. GCF of 6541,3890 is 1 .
LCM of Denominators means LCM of 833,2183 as per the given fractions.
LCM of 833,2183 is 1818439 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6541,3890
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6541
List of positive integer factors of 6541 that divides 6541 without a remainder.
1,31,211,6541
Factors of 3890
List of positive integer factors of 3890 that divides 3890 without a remainder.
1,2,5,10,389,778,1945,3890
Greatest Common Factor
We found the factors 6541,3890 . The biggest common factor number is the GCF number.
So the greatest common factor 6541,3890 is 1.
Lets's calculate LCM of 833,2183
Given numbers has no common factors except 1. So, there LCM is their product i.e 1818439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1818439
Therefore, the GCF of Fractions 6541/833,3890/2183 is 1/1818439
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 833,2183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,2183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,2183) x common factors =1 x 1 = 1
LCM(833,2183) = ( 833 × 2183 ) / 1
LCM(833,2183) = 1818439 / 1
LCM(833,2183) = 1818439
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 6541/833, 3890/2183?
Answer: GCF of Numerators as per given numbers 6541/833, 3890/2183 is
GCF of Numerators i.e. for 6541,3890 is 1
LCM of denominators i.e. for 833,2183 is 1818439.
Thus, GCF of Fractions is 1/1818439.Finally, GCF of Fractions for 6541/833, 3890/2183 is 1/1818439.