Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1150/933,4119/6621
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 1150,4119
Greatest Common Factor of Numerators i.e. GCF of 1150,4119 is 1 .
LCM of Denominators means LCM of 933,6621 as per the given fractions.
LCM of 933,6621 is 2059131 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1150,4119
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1150
List of positive integer factors of 1150 that divides 1150 without a remainder.
1,2,5,10,23,25,46,50,115,230,575,1150
Factors of 4119
List of positive integer factors of 4119 that divides 4119 without a remainder.
1,3,1373,4119
Greatest Common Factor
We found the factors 1150,4119 . The biggest common factor number is the GCF number.
So the greatest common factor 1150,4119 is 1.
Lets's calculate LCM of 933,6621
3 | 933, 6621 |
311, 2207 |
∴ So the LCM of the given numbers is 3 x 311 x 2207 = 2059131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2059131
Therefore, the GCF of Fractions 1150/933,4119/6621 is 1/2059131
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 933,6621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,6621) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,6621) x common factors =3 x 1 = 3
LCM(933,6621) = ( 933 × 6621 ) / 3
LCM(933,6621) = 6177393 / 3
LCM(933,6621) = 2059131
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 1150/933, 4119/6621?
Answer: GCF of Numerators as per given numbers 1150/933, 4119/6621 is
GCF of Numerators i.e. for 1150,4119 is 1
LCM of denominators i.e. for 933,6621 is 2059131.
Thus, GCF of Fractions is 1/2059131.Finally, GCF of Fractions for 1150/933, 4119/6621 is 1/2059131.