Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2509/240,7385/549
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 2509,7385
Greatest Common Factor of Numerators i.e. GCF of 2509,7385 is 1 .
LCM of Denominators means LCM of 240,549 as per the given fractions.
LCM of 240,549 is 43920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2509,7385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2509
List of positive integer factors of 2509 that divides 2509 without a remainder.
1,13,193,2509
Factors of 7385
List of positive integer factors of 7385 that divides 7385 without a remainder.
1,5,7,35,211,1055,1477,7385
Greatest Common Factor
We found the factors 2509,7385 . The biggest common factor number is the GCF number.
So the greatest common factor 2509,7385 is 1.
Lets's calculate LCM of 240,549
3 | 240, 549 |
80, 183 |
∴ So the LCM of the given numbers is 3 x 80 x 183 = 43920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43920
Therefore, the GCF of Fractions 2509/240,7385/549 is 1/43920
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 240,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,549) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(240,549) x common factors =3 x 1 = 3
LCM(240,549) = ( 240 × 549 ) / 3
LCM(240,549) = 131760 / 3
LCM(240,549) = 43920
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 2509/240, 7385/549?
Answer: GCF of Numerators as per given numbers 2509/240, 7385/549 is
GCF of Numerators i.e. for 2509,7385 is 1
LCM of denominators i.e. for 240,549 is 43920.
Thus, GCF of Fractions is 1/43920.Finally, GCF of Fractions for 2509/240, 7385/549 is 1/43920.