Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3517/48,3838/748
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 3517,3838
Greatest Common Factor of Numerators i.e. GCF of 3517,3838 is 1 .
LCM of Denominators means LCM of 48,748 as per the given fractions.
LCM of 48,748 is 8976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3517,3838
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3517
List of positive integer factors of 3517 that divides 3517 without a remainder.
1,3517
Factors of 3838
List of positive integer factors of 3838 that divides 3838 without a remainder.
1,2,19,38,101,202,1919,3838
Greatest Common Factor
We found the factors 3517,3838 . The biggest common factor number is the GCF number.
So the greatest common factor 3517,3838 is 1.
Lets's calculate LCM of 48,748
2 | 48, 748 |
2 | 24, 374 |
12, 187 |
∴ So the LCM of the given numbers is 2 x 2 x 12 x 187 = 8976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8976
Therefore, the GCF of Fractions 3517/48,3838/748 is 1/8976
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 48,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,748) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(48,748) x common factors =4 x 1 = 4
LCM(48,748) = ( 48 × 748 ) / 4
LCM(48,748) = 35904 / 4
LCM(48,748) = 8976
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 3517/48, 3838/748?
Answer: GCF of Numerators as per given numbers 3517/48, 3838/748 is
GCF of Numerators i.e. for 3517,3838 is 1
LCM of denominators i.e. for 48,748 is 8976.
Thus, GCF of Fractions is 1/8976.Finally, GCF of Fractions for 3517/48, 3838/748 is 1/8976.