Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1555/95,5788/919
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 1555,5788
Greatest Common Factor of Numerators i.e. GCF of 1555,5788 is 1 .
LCM of Denominators means LCM of 95,919 as per the given fractions.
LCM of 95,919 is 87305 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1555,5788
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1555
List of positive integer factors of 1555 that divides 1555 without a remainder.
1,5,311,1555
Factors of 5788
List of positive integer factors of 5788 that divides 5788 without a remainder.
1,2,4,1447,2894,5788
Greatest Common Factor
We found the factors 1555,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 1555,5788 is 1.
Lets's calculate LCM of 95,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 87305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87305
Therefore, the GCF of Fractions 1555/95,5788/919 is 1/87305
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 95,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,919) x common factors =1 x 1 = 1
LCM(95,919) = ( 95 × 919 ) / 1
LCM(95,919) = 87305 / 1
LCM(95,919) = 87305
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 1555/95, 5788/919?
Answer: GCF of Numerators as per given numbers 1555/95, 5788/919 is
GCF of Numerators i.e. for 1555,5788 is 1
LCM of denominators i.e. for 95,919 is 87305.
Thus, GCF of Fractions is 1/87305.Finally, GCF of Fractions for 1555/95, 5788/919 is 1/87305.