Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6149/243,8755/5546
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 6149,8755
Greatest Common Factor of Numerators i.e. GCF of 6149,8755 is 1 .
LCM of Denominators means LCM of 243,5546 as per the given fractions.
LCM of 243,5546 is 1347678 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6149,8755
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6149
List of positive integer factors of 6149 that divides 6149 without a remainder.
1,11,13,43,143,473,559,6149
Factors of 8755
List of positive integer factors of 8755 that divides 8755 without a remainder.
1,5,17,85,103,515,1751,8755
Greatest Common Factor
We found the factors 6149,8755 . The biggest common factor number is the GCF number.
So the greatest common factor 6149,8755 is 1.
Lets's calculate LCM of 243,5546
Given numbers has no common factors except 1. So, there LCM is their product i.e 1347678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1347678
Therefore, the GCF of Fractions 6149/243,8755/5546 is 1/1347678
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 243,5546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,5546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,5546) x common factors =1 x 1 = 1
LCM(243,5546) = ( 243 × 5546 ) / 1
LCM(243,5546) = 1347678 / 1
LCM(243,5546) = 1347678
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 6149/243, 8755/5546?
Answer: GCF of Numerators as per given numbers 6149/243, 8755/5546 is
GCF of Numerators i.e. for 6149,8755 is 1
LCM of denominators i.e. for 243,5546 is 1347678.
Thus, GCF of Fractions is 1/1347678.Finally, GCF of Fractions for 6149/243, 8755/5546 is 1/1347678.