Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/247,726/760
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 487,726
Greatest Common Factor of Numerators i.e. GCF of 487,726 is 1 .
LCM of Denominators means LCM of 247,760 as per the given fractions.
LCM of 247,760 is 9880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 487,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 487,726 . The biggest common factor number is the GCF number.
So the greatest common factor 487,726 is 1.
Lets's calculate LCM of 247,760
19 | 247, 760 |
13, 40 |
∴ So the LCM of the given numbers is 19 x 13 x 40 = 9880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9880
Therefore, the GCF of Fractions 487/247,726/760 is 1/9880
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 247,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,760) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(247,760) x common factors =19 x 1 = 19
LCM(247,760) = ( 247 × 760 ) / 19
LCM(247,760) = 187720 / 19
LCM(247,760) = 9880
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 487/247, 726/760?
Answer: GCF of Numerators as per given numbers 487/247, 726/760 is
GCF of Numerators i.e. for 487,726 is 1
LCM of denominators i.e. for 247,760 is 9880.
Thus, GCF of Fractions is 1/9880.Finally, GCF of Fractions for 487/247, 726/760 is 1/9880.