Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 759/408,3098/579
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 759,3098
Greatest Common Factor of Numerators i.e. GCF of 759,3098 is 1 .
LCM of Denominators means LCM of 408,579 as per the given fractions.
LCM of 408,579 is 78744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 759,3098
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 3098
List of positive integer factors of 3098 that divides 3098 without a remainder.
1,2,1549,3098
Greatest Common Factor
We found the factors 759,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 759,3098 is 1.
Lets's calculate LCM of 408,579
3 | 408, 579 |
136, 193 |
∴ So the LCM of the given numbers is 3 x 136 x 193 = 78744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78744
Therefore, the GCF of Fractions 759/408,3098/579 is 1/78744
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 408,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,579) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(408,579) x common factors =3 x 1 = 3
LCM(408,579) = ( 408 × 579 ) / 3
LCM(408,579) = 236232 / 3
LCM(408,579) = 78744
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 759/408, 3098/579?
Answer: GCF of Numerators as per given numbers 759/408, 3098/579 is
GCF of Numerators i.e. for 759,3098 is 1
LCM of denominators i.e. for 408,579 is 78744.
Thus, GCF of Fractions is 1/78744.Finally, GCF of Fractions for 759/408, 3098/579 is 1/78744.