Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3051/290,9403/135
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 3051,9403
Greatest Common Factor of Numerators i.e. GCF of 3051,9403 is 1 .
LCM of Denominators means LCM of 290,135 as per the given fractions.
LCM of 290,135 is 7830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3051,9403
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3051
List of positive integer factors of 3051 that divides 3051 without a remainder.
1,3,9,27,113,339,1017,3051
Factors of 9403
List of positive integer factors of 9403 that divides 9403 without a remainder.
1,9403
Greatest Common Factor
We found the factors 3051,9403 . The biggest common factor number is the GCF number.
So the greatest common factor 3051,9403 is 1.
Lets's calculate LCM of 290,135
5 | 290, 135 |
58, 27 |
∴ So the LCM of the given numbers is 5 x 58 x 27 = 7830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7830
Therefore, the GCF of Fractions 3051/290,9403/135 is 1/7830
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 290,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,135) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(290,135) x common factors =5 x 1 = 5
LCM(290,135) = ( 290 × 135 ) / 5
LCM(290,135) = 39150 / 5
LCM(290,135) = 7830
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 3051/290, 9403/135?
Answer: GCF of Numerators as per given numbers 3051/290, 9403/135 is
GCF of Numerators i.e. for 3051,9403 is 1
LCM of denominators i.e. for 290,135 is 7830.
Thus, GCF of Fractions is 1/7830.Finally, GCF of Fractions for 3051/290, 9403/135 is 1/7830.