Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 143/313,6498/176
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 143,6498
Greatest Common Factor of Numerators i.e. GCF of 143,6498 is 1 .
LCM of Denominators means LCM of 313,176 as per the given fractions.
LCM of 313,176 is 55088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 143,6498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 6498
List of positive integer factors of 6498 that divides 6498 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Greatest Common Factor
We found the factors 143,6498 . The biggest common factor number is the GCF number.
So the greatest common factor 143,6498 is 1.
Lets's calculate LCM of 313,176
Given numbers has no common factors except 1. So, there LCM is their product i.e 55088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55088
Therefore, the GCF of Fractions 143/313,6498/176 is 1/55088
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 313,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,176) x common factors =1 x 1 = 1
LCM(313,176) = ( 313 × 176 ) / 1
LCM(313,176) = 55088 / 1
LCM(313,176) = 55088
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 143/313, 6498/176?
Answer: GCF of Numerators as per given numbers 143/313, 6498/176 is
GCF of Numerators i.e. for 143,6498 is 1
LCM of denominators i.e. for 313,176 is 55088.
Thus, GCF of Fractions is 1/55088.Finally, GCF of Fractions for 143/313, 6498/176 is 1/55088.