Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7444/287,7882/424
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 7444,7882
Greatest Common Factor of Numerators i.e. GCF of 7444,7882 is 2 .
LCM of Denominators means LCM of 287,424 as per the given fractions.
LCM of 287,424 is 121688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7444,7882
2 | 7444, 7882 |
3722, 3941 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7444
List of positive integer factors of 7444 that divides 7444 without a remainder.
1,2,4,1861,3722,7444
Factors of 7882
List of positive integer factors of 7882 that divides 7882 without a remainder.
1,2,7,14,563,1126,3941,7882
Greatest Common Factor
We found the factors 7444,7882 . The biggest common factor number is the GCF number.
So the greatest common factor 7444,7882 is 2.
Lets's calculate LCM of 287,424
Given numbers has no common factors except 1. So, there LCM is their product i.e 121688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121688
Therefore, the GCF of Fractions 7444/287,7882/424 is 2/121688
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 287,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,424) x common factors =1 x 1 = 1
LCM(287,424) = ( 287 × 424 ) / 1
LCM(287,424) = 121688 / 1
LCM(287,424) = 121688
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 7444/287, 7882/424?
Answer: GCF of Numerators as per given numbers 7444/287, 7882/424 is
GCF of Numerators i.e. for 7444,7882 is 2
LCM of denominators i.e. for 287,424 is 121688.
Thus, GCF of Fractions is 2/121688.Finally, GCF of Fractions for 7444/287, 7882/424 is 2/121688.