Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 381/81,211/795
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 381,211
Greatest Common Factor of Numerators i.e. GCF of 381,211 is 1 .
LCM of Denominators means LCM of 81,795 as per the given fractions.
LCM of 81,795 is 21465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 381,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Greatest Common Factor
We found the factors 381,211 . The biggest common factor number is the GCF number.
So the greatest common factor 381,211 is 1.
Lets's calculate LCM of 81,795
3 | 81, 795 |
27, 265 |
∴ So the LCM of the given numbers is 3 x 27 x 265 = 21465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21465
Therefore, the GCF of Fractions 381/81,211/795 is 1/21465
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 81,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,795) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(81,795) x common factors =3 x 1 = 3
LCM(81,795) = ( 81 × 795 ) / 3
LCM(81,795) = 64395 / 3
LCM(81,795) = 21465
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 381/81, 211/795?
Answer: GCF of Numerators as per given numbers 381/81, 211/795 is
GCF of Numerators i.e. for 381,211 is 1
LCM of denominators i.e. for 81,795 is 21465.
Thus, GCF of Fractions is 1/21465.Finally, GCF of Fractions for 381/81, 211/795 is 1/21465.