Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 127/9887,109/3364
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 127,109
Greatest Common Factor of Numerators i.e. GCF of 127,109 is 1 .
LCM of Denominators means LCM of 9887,3364 as per the given fractions.
LCM of 9887,3364 is 33259868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 127,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Greatest Common Factor
We found the factors 127,109 . The biggest common factor number is the GCF number.
So the greatest common factor 127,109 is 1.
Lets's calculate LCM of 9887,3364
Given numbers has no common factors except 1. So, there LCM is their product i.e 33259868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33259868
Therefore, the GCF of Fractions 127/9887,109/3364 is 1/33259868
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 9887,3364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9887,3364) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9887,3364) x common factors =1 x 1 = 1
LCM(9887,3364) = ( 9887 × 3364 ) / 1
LCM(9887,3364) = 33259868 / 1
LCM(9887,3364) = 33259868
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 127/9887, 109/3364?
Answer: GCF of Numerators as per given numbers 127/9887, 109/3364 is
GCF of Numerators i.e. for 127,109 is 1
LCM of denominators i.e. for 9887,3364 is 33259868.
Thus, GCF of Fractions is 1/33259868.Finally, GCF of Fractions for 127/9887, 109/3364 is 1/33259868.