Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2407/330,1259/6608
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 2407,1259
Greatest Common Factor of Numerators i.e. GCF of 2407,1259 is 1 .
LCM of Denominators means LCM of 330,6608 as per the given fractions.
LCM of 330,6608 is 1090320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2407,1259
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2407
List of positive integer factors of 2407 that divides 2407 without a remainder.
1,29,83,2407
Factors of 1259
List of positive integer factors of 1259 that divides 1259 without a remainder.
1,1259
Greatest Common Factor
We found the factors 2407,1259 . The biggest common factor number is the GCF number.
So the greatest common factor 2407,1259 is 1.
Lets's calculate LCM of 330,6608
2 | 330, 6608 |
165, 3304 |
∴ So the LCM of the given numbers is 2 x 165 x 3304 = 1090320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1090320
Therefore, the GCF of Fractions 2407/330,1259/6608 is 1/1090320
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 330,6608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,6608) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,6608) x common factors =2 x 1 = 2
LCM(330,6608) = ( 330 × 6608 ) / 2
LCM(330,6608) = 2180640 / 2
LCM(330,6608) = 1090320
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 2407/330, 1259/6608?
Answer: GCF of Numerators as per given numbers 2407/330, 1259/6608 is
GCF of Numerators i.e. for 2407,1259 is 1
LCM of denominators i.e. for 330,6608 is 1090320.
Thus, GCF of Fractions is 1/1090320.Finally, GCF of Fractions for 2407/330, 1259/6608 is 1/1090320.