Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2908/537,8451/8891
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 2908,8451
Greatest Common Factor of Numerators i.e. GCF of 2908,8451 is 1 .
LCM of Denominators means LCM of 537,8891 as per the given fractions.
LCM of 537,8891 is 4774467 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2908,8451
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2908
List of positive integer factors of 2908 that divides 2908 without a remainder.
1,2,4,727,1454,2908
Factors of 8451
List of positive integer factors of 8451 that divides 8451 without a remainder.
1,3,9,27,313,939,2817,8451
Greatest Common Factor
We found the factors 2908,8451 . The biggest common factor number is the GCF number.
So the greatest common factor 2908,8451 is 1.
Lets's calculate LCM of 537,8891
Given numbers has no common factors except 1. So, there LCM is their product i.e 4774467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4774467
Therefore, the GCF of Fractions 2908/537,8451/8891 is 1/4774467
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 537,8891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,8891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,8891) x common factors =1 x 1 = 1
LCM(537,8891) = ( 537 × 8891 ) / 1
LCM(537,8891) = 4774467 / 1
LCM(537,8891) = 4774467
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 2908/537, 8451/8891?
Answer: GCF of Numerators as per given numbers 2908/537, 8451/8891 is
GCF of Numerators i.e. for 2908,8451 is 1
LCM of denominators i.e. for 537,8891 is 4774467.
Thus, GCF of Fractions is 1/4774467.Finally, GCF of Fractions for 2908/537, 8451/8891 is 1/4774467.