Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 344/15,221/8934
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 344,221
Greatest Common Factor of Numerators i.e. GCF of 344,221 is 1 .
LCM of Denominators means LCM of 15,8934 as per the given fractions.
LCM of 15,8934 is 44670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 344,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 344,221 . The biggest common factor number is the GCF number.
So the greatest common factor 344,221 is 1.
Lets's calculate LCM of 15,8934
3 | 15, 8934 |
5, 2978 |
∴ So the LCM of the given numbers is 3 x 5 x 2978 = 44670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44670
Therefore, the GCF of Fractions 344/15,221/8934 is 1/44670
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 15,8934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,8934) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,8934) x common factors =3 x 1 = 3
LCM(15,8934) = ( 15 × 8934 ) / 3
LCM(15,8934) = 134010 / 3
LCM(15,8934) = 44670
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 344/15, 221/8934?
Answer: GCF of Numerators as per given numbers 344/15, 221/8934 is
GCF of Numerators i.e. for 344,221 is 1
LCM of denominators i.e. for 15,8934 is 44670.
Thus, GCF of Fractions is 1/44670.Finally, GCF of Fractions for 344/15, 221/8934 is 1/44670.