Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6444/911,5435/295
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 6444,5435
Greatest Common Factor of Numerators i.e. GCF of 6444,5435 is 1 .
LCM of Denominators means LCM of 911,295 as per the given fractions.
LCM of 911,295 is 268745 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6444,5435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6444
List of positive integer factors of 6444 that divides 6444 without a remainder.
1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444
Factors of 5435
List of positive integer factors of 5435 that divides 5435 without a remainder.
1,5,1087,5435
Greatest Common Factor
We found the factors 6444,5435 . The biggest common factor number is the GCF number.
So the greatest common factor 6444,5435 is 1.
Lets's calculate LCM of 911,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 268745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268745
Therefore, the GCF of Fractions 6444/911,5435/295 is 1/268745
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 911,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,295) x common factors =1 x 1 = 1
LCM(911,295) = ( 911 × 295 ) / 1
LCM(911,295) = 268745 / 1
LCM(911,295) = 268745
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 6444/911, 5435/295?
Answer: GCF of Numerators as per given numbers 6444/911, 5435/295 is
GCF of Numerators i.e. for 6444,5435 is 1
LCM of denominators i.e. for 911,295 is 268745.
Thus, GCF of Fractions is 1/268745.Finally, GCF of Fractions for 6444/911, 5435/295 is 1/268745.