Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1441/68,2629/806
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 1441,2629
Greatest Common Factor of Numerators i.e. GCF of 1441,2629 is 11 .
LCM of Denominators means LCM of 68,806 as per the given fractions.
LCM of 68,806 is 27404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1441,2629
11 | 1441, 2629 |
131, 239 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 1441
List of positive integer factors of 1441 that divides 1441 without a remainder.
1,11,131,1441
Factors of 2629
List of positive integer factors of 2629 that divides 2629 without a remainder.
1,11,239,2629
Greatest Common Factor
We found the factors 1441,2629 . The biggest common factor number is the GCF number.
So the greatest common factor 1441,2629 is 11.
Lets's calculate LCM of 68,806
2 | 68, 806 |
34, 403 |
∴ So the LCM of the given numbers is 2 x 34 x 403 = 27404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/27404
Therefore, the GCF of Fractions 1441/68,2629/806 is 11/27404
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 68,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,806) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,806) x common factors =2 x 1 = 2
LCM(68,806) = ( 68 × 806 ) / 2
LCM(68,806) = 54808 / 2
LCM(68,806) = 27404
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 1441/68, 2629/806?
Answer: GCF of Numerators as per given numbers 1441/68, 2629/806 is
GCF of Numerators i.e. for 1441,2629 is 11
LCM of denominators i.e. for 68,806 is 27404.
Thus, GCF of Fractions is 11/27404.Finally, GCF of Fractions for 1441/68, 2629/806 is 11/27404.