Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 329/517,7983/748
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 329,7983
Greatest Common Factor of Numerators i.e. GCF of 329,7983 is 1 .
LCM of Denominators means LCM of 517,748 as per the given fractions.
LCM of 517,748 is 35156 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 329,7983
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 7983
List of positive integer factors of 7983 that divides 7983 without a remainder.
1,3,9,887,2661,7983
Greatest Common Factor
We found the factors 329,7983 . The biggest common factor number is the GCF number.
So the greatest common factor 329,7983 is 1.
Lets's calculate LCM of 517,748
11 | 517, 748 |
47, 68 |
∴ So the LCM of the given numbers is 11 x 47 x 68 = 35156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35156
Therefore, the GCF of Fractions 329/517,7983/748 is 1/35156
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 517,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,748) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(517,748) x common factors =11 x 1 = 11
LCM(517,748) = ( 517 × 748 ) / 11
LCM(517,748) = 386716 / 11
LCM(517,748) = 35156
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 329/517, 7983/748?
Answer: GCF of Numerators as per given numbers 329/517, 7983/748 is
GCF of Numerators i.e. for 329,7983 is 1
LCM of denominators i.e. for 517,748 is 35156.
Thus, GCF of Fractions is 1/35156.Finally, GCF of Fractions for 329/517, 7983/748 is 1/35156.