Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9939/55,1385/341
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 9939,1385
Greatest Common Factor of Numerators i.e. GCF of 9939,1385 is 1 .
LCM of Denominators means LCM of 55,341 as per the given fractions.
LCM of 55,341 is 1705 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9939,1385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9939
List of positive integer factors of 9939 that divides 9939 without a remainder.
1,3,3313,9939
Factors of 1385
List of positive integer factors of 1385 that divides 1385 without a remainder.
1,5,277,1385
Greatest Common Factor
We found the factors 9939,1385 . The biggest common factor number is the GCF number.
So the greatest common factor 9939,1385 is 1.
Lets's calculate LCM of 55,341
11 | 55, 341 |
5, 31 |
∴ So the LCM of the given numbers is 11 x 5 x 31 = 1705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1705
Therefore, the GCF of Fractions 9939/55,1385/341 is 1/1705
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 55,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,341) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(55,341) x common factors =11 x 1 = 11
LCM(55,341) = ( 55 × 341 ) / 11
LCM(55,341) = 18755 / 11
LCM(55,341) = 1705
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 9939/55, 1385/341?
Answer: GCF of Numerators as per given numbers 9939/55, 1385/341 is
GCF of Numerators i.e. for 9939,1385 is 1
LCM of denominators i.e. for 55,341 is 1705.
Thus, GCF of Fractions is 1/1705.Finally, GCF of Fractions for 9939/55, 1385/341 is 1/1705.