Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1932/96,5065/411
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 1932,5065
Greatest Common Factor of Numerators i.e. GCF of 1932,5065 is 1 .
LCM of Denominators means LCM of 96,411 as per the given fractions.
LCM of 96,411 is 13152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1932,5065
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1932
List of positive integer factors of 1932 that divides 1932 without a remainder.
1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Factors of 5065
List of positive integer factors of 5065 that divides 5065 without a remainder.
1,5,1013,5065
Greatest Common Factor
We found the factors 1932,5065 . The biggest common factor number is the GCF number.
So the greatest common factor 1932,5065 is 1.
Lets's calculate LCM of 96,411
3 | 96, 411 |
32, 137 |
∴ So the LCM of the given numbers is 3 x 32 x 137 = 13152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13152
Therefore, the GCF of Fractions 1932/96,5065/411 is 1/13152
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 96,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,411) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(96,411) x common factors =3 x 1 = 3
LCM(96,411) = ( 96 × 411 ) / 3
LCM(96,411) = 39456 / 3
LCM(96,411) = 13152
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 1932/96, 5065/411?
Answer: GCF of Numerators as per given numbers 1932/96, 5065/411 is
GCF of Numerators i.e. for 1932,5065 is 1
LCM of denominators i.e. for 96,411 is 13152.
Thus, GCF of Fractions is 1/13152.Finally, GCF of Fractions for 1932/96, 5065/411 is 1/13152.