Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 411/273,908/448,460/707
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 411,908,460
Greatest Common Factor of Numerators i.e. GCF of 411,908,460 is 1 .
LCM of Denominators means LCM of 273,448,707 as per the given fractions.
LCM of 273,448,707 is 1764672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 411,908,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 411,908,460 . The biggest common factor number is the GCF number.
So the greatest common factor 411,908,460 is 1.
Lets's calculate LCM of 273,448,707
7 | 273, 448, 707 |
39, 64, 101 |
∴ So the LCM of the given numbers is 7 x 39 x 64 x 101 = 1764672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1764672
Therefore, the GCF of Fractions 411/273,908/448,460/707 is 1/1764672
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 273,448,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,448,707) = 7
common factors(in case of two or more numbers have common factors) = 7
GCF(273,448,707) x common factors =7 x 7 = 49
LCM(273,448,707) = ( 273 × 448 × 707 ) / 49
LCM(273,448,707) = 86468928 / 49
LCM(273,448,707) = 1764672
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 411/273, 908/448, 460/707?
Answer: GCF of Numerators as per given numbers 411/273, 908/448, 460/707 is
GCF of Numerators i.e. for 411,908,460 is 1
LCM of denominators i.e. for 273,448,707 is 1764672.
Thus, GCF of Fractions is 1/1764672.Finally, GCF of Fractions for 411/273, 908/448, 460/707 is 1/1764672.