Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8763/584,1401/7242
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 8763,1401
Greatest Common Factor of Numerators i.e. GCF of 8763,1401 is 3 .
LCM of Denominators means LCM of 584,7242 as per the given fractions.
LCM of 584,7242 is 2114664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8763,1401
3 | 8763, 1401 |
2921, 467 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8763
List of positive integer factors of 8763 that divides 8763 without a remainder.
1,3,23,69,127,381,2921,8763
Factors of 1401
List of positive integer factors of 1401 that divides 1401 without a remainder.
1,3,467,1401
Greatest Common Factor
We found the factors 8763,1401 . The biggest common factor number is the GCF number.
So the greatest common factor 8763,1401 is 3.
Lets's calculate LCM of 584,7242
2 | 584, 7242 |
292, 3621 |
∴ So the LCM of the given numbers is 2 x 292 x 3621 = 2114664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2114664
Therefore, the GCF of Fractions 8763/584,1401/7242 is 3/2114664
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 584,7242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,7242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(584,7242) x common factors =2 x 1 = 2
LCM(584,7242) = ( 584 × 7242 ) / 2
LCM(584,7242) = 4229328 / 2
LCM(584,7242) = 2114664
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 8763/584, 1401/7242?
Answer: GCF of Numerators as per given numbers 8763/584, 1401/7242 is
GCF of Numerators i.e. for 8763,1401 is 3
LCM of denominators i.e. for 584,7242 is 2114664.
Thus, GCF of Fractions is 3/2114664.Finally, GCF of Fractions for 8763/584, 1401/7242 is 3/2114664.