Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6246/963,2863/531
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 6246,2863
Greatest Common Factor of Numerators i.e. GCF of 6246,2863 is 1 .
LCM of Denominators means LCM of 963,531 as per the given fractions.
LCM of 963,531 is 56817 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6246,2863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6246
List of positive integer factors of 6246 that divides 6246 without a remainder.
1,2,3,6,9,18,347,694,1041,2082,3123,6246
Factors of 2863
List of positive integer factors of 2863 that divides 2863 without a remainder.
1,7,409,2863
Greatest Common Factor
We found the factors 6246,2863 . The biggest common factor number is the GCF number.
So the greatest common factor 6246,2863 is 1.
Lets's calculate LCM of 963,531
3 | 963, 531 |
3 | 321, 177 |
107, 59 |
∴ So the LCM of the given numbers is 3 x 3 x 107 x 59 = 56817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56817
Therefore, the GCF of Fractions 6246/963,2863/531 is 1/56817
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 963,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,531) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(963,531) x common factors =9 x 1 = 9
LCM(963,531) = ( 963 × 531 ) / 9
LCM(963,531) = 511353 / 9
LCM(963,531) = 56817
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 6246/963, 2863/531?
Answer: GCF of Numerators as per given numbers 6246/963, 2863/531 is
GCF of Numerators i.e. for 6246,2863 is 1
LCM of denominators i.e. for 963,531 is 56817.
Thus, GCF of Fractions is 1/56817.Finally, GCF of Fractions for 6246/963, 2863/531 is 1/56817.