Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8555/527,8779/195
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 8555,8779
Greatest Common Factor of Numerators i.e. GCF of 8555,8779 is 1 .
LCM of Denominators means LCM of 527,195 as per the given fractions.
LCM of 527,195 is 102765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8555,8779
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8555
List of positive integer factors of 8555 that divides 8555 without a remainder.
1,5,29,59,145,295,1711,8555
Factors of 8779
List of positive integer factors of 8779 that divides 8779 without a remainder.
1,8779
Greatest Common Factor
We found the factors 8555,8779 . The biggest common factor number is the GCF number.
So the greatest common factor 8555,8779 is 1.
Lets's calculate LCM of 527,195
Given numbers has no common factors except 1. So, there LCM is their product i.e 102765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102765
Therefore, the GCF of Fractions 8555/527,8779/195 is 1/102765
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 527,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,195) x common factors =1 x 1 = 1
LCM(527,195) = ( 527 × 195 ) / 1
LCM(527,195) = 102765 / 1
LCM(527,195) = 102765
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 8555/527, 8779/195?
Answer: GCF of Numerators as per given numbers 8555/527, 8779/195 is
GCF of Numerators i.e. for 8555,8779 is 1
LCM of denominators i.e. for 527,195 is 102765.
Thus, GCF of Fractions is 1/102765.Finally, GCF of Fractions for 8555/527, 8779/195 is 1/102765.