Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8527/127,1935/1511
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 8527,1935
Greatest Common Factor of Numerators i.e. GCF of 8527,1935 is 1 .
LCM of Denominators means LCM of 127,1511 as per the given fractions.
LCM of 127,1511 is 191897 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8527,1935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8527
List of positive integer factors of 8527 that divides 8527 without a remainder.
1,8527
Factors of 1935
List of positive integer factors of 1935 that divides 1935 without a remainder.
1,3,5,9,15,43,45,129,215,387,645,1935
Greatest Common Factor
We found the factors 8527,1935 . The biggest common factor number is the GCF number.
So the greatest common factor 8527,1935 is 1.
Lets's calculate LCM of 127,1511
Given numbers has no common factors except 1. So, there LCM is their product i.e 191897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191897
Therefore, the GCF of Fractions 8527/127,1935/1511 is 1/191897
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 127,1511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,1511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,1511) x common factors =1 x 1 = 1
LCM(127,1511) = ( 127 × 1511 ) / 1
LCM(127,1511) = 191897 / 1
LCM(127,1511) = 191897
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 8527/127, 1935/1511?
Answer: GCF of Numerators as per given numbers 8527/127, 1935/1511 is
GCF of Numerators i.e. for 8527,1935 is 1
LCM of denominators i.e. for 127,1511 is 191897.
Thus, GCF of Fractions is 1/191897.Finally, GCF of Fractions for 8527/127, 1935/1511 is 1/191897.