Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 329/51,539/6498
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 329,539
Greatest Common Factor of Numerators i.e. GCF of 329,539 is 7 .
LCM of Denominators means LCM of 51,6498 as per the given fractions.
LCM of 51,6498 is 110466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 329,539
7 | 329, 539 |
47, 77 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Greatest Common Factor
We found the factors 329,539 . The biggest common factor number is the GCF number.
So the greatest common factor 329,539 is 7.
Lets's calculate LCM of 51,6498
3 | 51, 6498 |
17, 2166 |
∴ So the LCM of the given numbers is 3 x 17 x 2166 = 110466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/110466
Therefore, the GCF of Fractions 329/51,539/6498 is 7/110466
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 51,6498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,6498) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,6498) x common factors =3 x 1 = 3
LCM(51,6498) = ( 51 × 6498 ) / 3
LCM(51,6498) = 331398 / 3
LCM(51,6498) = 110466
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 329/51, 539/6498?
Answer: GCF of Numerators as per given numbers 329/51, 539/6498 is
GCF of Numerators i.e. for 329,539 is 7
LCM of denominators i.e. for 51,6498 is 110466.
Thus, GCF of Fractions is 7/110466.Finally, GCF of Fractions for 329/51, 539/6498 is 7/110466.