Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 278/618,7061/9895
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 278,7061
Greatest Common Factor of Numerators i.e. GCF of 278,7061 is 1 .
LCM of Denominators means LCM of 618,9895 as per the given fractions.
LCM of 618,9895 is 6115110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 278,7061
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 7061
List of positive integer factors of 7061 that divides 7061 without a remainder.
1,23,307,7061
Greatest Common Factor
We found the factors 278,7061 . The biggest common factor number is the GCF number.
So the greatest common factor 278,7061 is 1.
Lets's calculate LCM of 618,9895
Given numbers has no common factors except 1. So, there LCM is their product i.e 6115110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6115110
Therefore, the GCF of Fractions 278/618,7061/9895 is 1/6115110
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 618,9895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,9895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(618,9895) x common factors =1 x 1 = 1
LCM(618,9895) = ( 618 × 9895 ) / 1
LCM(618,9895) = 6115110 / 1
LCM(618,9895) = 6115110
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 278/618, 7061/9895?
Answer: GCF of Numerators as per given numbers 278/618, 7061/9895 is
GCF of Numerators i.e. for 278,7061 is 1
LCM of denominators i.e. for 618,9895 is 6115110.
Thus, GCF of Fractions is 1/6115110.Finally, GCF of Fractions for 278/618, 7061/9895 is 1/6115110.