Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7509/13,2463/725
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 7509,2463
Greatest Common Factor of Numerators i.e. GCF of 7509,2463 is 3 .
LCM of Denominators means LCM of 13,725 as per the given fractions.
LCM of 13,725 is 9425 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7509,2463
3 | 7509, 2463 |
2503, 821 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7509
List of positive integer factors of 7509 that divides 7509 without a remainder.
1,3,2503,7509
Factors of 2463
List of positive integer factors of 2463 that divides 2463 without a remainder.
1,3,821,2463
Greatest Common Factor
We found the factors 7509,2463 . The biggest common factor number is the GCF number.
So the greatest common factor 7509,2463 is 3.
Lets's calculate LCM of 13,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 9425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9425
Therefore, the GCF of Fractions 7509/13,2463/725 is 3/9425
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 13,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,725) x common factors =1 x 1 = 1
LCM(13,725) = ( 13 × 725 ) / 1
LCM(13,725) = 9425 / 1
LCM(13,725) = 9425
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 7509/13, 2463/725?
Answer: GCF of Numerators as per given numbers 7509/13, 2463/725 is
GCF of Numerators i.e. for 7509,2463 is 3
LCM of denominators i.e. for 13,725 is 9425.
Thus, GCF of Fractions is 3/9425.Finally, GCF of Fractions for 7509/13, 2463/725 is 3/9425.