Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 219/294,2755/309
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 219,2755
Greatest Common Factor of Numerators i.e. GCF of 219,2755 is 1 .
LCM of Denominators means LCM of 294,309 as per the given fractions.
LCM of 294,309 is 30282 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 219,2755
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 2755
List of positive integer factors of 2755 that divides 2755 without a remainder.
1,5,19,29,95,145,551,2755
Greatest Common Factor
We found the factors 219,2755 . The biggest common factor number is the GCF number.
So the greatest common factor 219,2755 is 1.
Lets's calculate LCM of 294,309
3 | 294, 309 |
98, 103 |
∴ So the LCM of the given numbers is 3 x 98 x 103 = 30282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30282
Therefore, the GCF of Fractions 219/294,2755/309 is 1/30282
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 294,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,309) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(294,309) x common factors =3 x 1 = 3
LCM(294,309) = ( 294 × 309 ) / 3
LCM(294,309) = 90846 / 3
LCM(294,309) = 30282
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 219/294, 2755/309?
Answer: GCF of Numerators as per given numbers 219/294, 2755/309 is
GCF of Numerators i.e. for 219,2755 is 1
LCM of denominators i.e. for 294,309 is 30282.
Thus, GCF of Fractions is 1/30282.Finally, GCF of Fractions for 219/294, 2755/309 is 1/30282.