Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6143/387,2913/4135
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 6143,2913
Greatest Common Factor of Numerators i.e. GCF of 6143,2913 is 1 .
LCM of Denominators means LCM of 387,4135 as per the given fractions.
LCM of 387,4135 is 1600245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6143,2913
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6143
List of positive integer factors of 6143 that divides 6143 without a remainder.
1,6143
Factors of 2913
List of positive integer factors of 2913 that divides 2913 without a remainder.
1,3,971,2913
Greatest Common Factor
We found the factors 6143,2913 . The biggest common factor number is the GCF number.
So the greatest common factor 6143,2913 is 1.
Lets's calculate LCM of 387,4135
Given numbers has no common factors except 1. So, there LCM is their product i.e 1600245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1600245
Therefore, the GCF of Fractions 6143/387,2913/4135 is 1/1600245
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 387,4135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,4135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,4135) x common factors =1 x 1 = 1
LCM(387,4135) = ( 387 × 4135 ) / 1
LCM(387,4135) = 1600245 / 1
LCM(387,4135) = 1600245
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 6143/387, 2913/4135?
Answer: GCF of Numerators as per given numbers 6143/387, 2913/4135 is
GCF of Numerators i.e. for 6143,2913 is 1
LCM of denominators i.e. for 387,4135 is 1600245.
Thus, GCF of Fractions is 1/1600245.Finally, GCF of Fractions for 6143/387, 2913/4135 is 1/1600245.