Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/143,6325/5275
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 11,6325
Greatest Common Factor of Numerators i.e. GCF of 11,6325 is 11 .
LCM of Denominators means LCM of 143,5275 as per the given fractions.
LCM of 143,5275 is 754325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,6325
11 | 11, 6325 |
1, 575 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 6325
List of positive integer factors of 6325 that divides 6325 without a remainder.
1,5,11,23,25,55,115,253,275,575,1265,6325
Greatest Common Factor
We found the factors 11,6325 . The biggest common factor number is the GCF number.
So the greatest common factor 11,6325 is 11.
Lets's calculate LCM of 143,5275
Given numbers has no common factors except 1. So, there LCM is their product i.e 754325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/754325
Therefore, the GCF of Fractions 11/143,6325/5275 is 11/754325
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 143,5275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,5275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,5275) x common factors =1 x 1 = 1
LCM(143,5275) = ( 143 × 5275 ) / 1
LCM(143,5275) = 754325 / 1
LCM(143,5275) = 754325
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 11/143, 6325/5275?
Answer: GCF of Numerators as per given numbers 11/143, 6325/5275 is
GCF of Numerators i.e. for 11,6325 is 11
LCM of denominators i.e. for 143,5275 is 754325.
Thus, GCF of Fractions is 11/754325.Finally, GCF of Fractions for 11/143, 6325/5275 is 11/754325.