Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2375/883,6116/386
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 2375,6116
Greatest Common Factor of Numerators i.e. GCF of 2375,6116 is 1 .
LCM of Denominators means LCM of 883,386 as per the given fractions.
LCM of 883,386 is 340838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2375,6116
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2375
List of positive integer factors of 2375 that divides 2375 without a remainder.
1,5,19,25,95,125,475,2375
Factors of 6116
List of positive integer factors of 6116 that divides 6116 without a remainder.
1,2,4,11,22,44,139,278,556,1529,3058,6116
Greatest Common Factor
We found the factors 2375,6116 . The biggest common factor number is the GCF number.
So the greatest common factor 2375,6116 is 1.
Lets's calculate LCM of 883,386
Given numbers has no common factors except 1. So, there LCM is their product i.e 340838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340838
Therefore, the GCF of Fractions 2375/883,6116/386 is 1/340838
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 883,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,386) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,386) x common factors =1 x 1 = 1
LCM(883,386) = ( 883 × 386 ) / 1
LCM(883,386) = 340838 / 1
LCM(883,386) = 340838
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 2375/883, 6116/386?
Answer: GCF of Numerators as per given numbers 2375/883, 6116/386 is
GCF of Numerators i.e. for 2375,6116 is 1
LCM of denominators i.e. for 883,386 is 340838.
Thus, GCF of Fractions is 1/340838.Finally, GCF of Fractions for 2375/883, 6116/386 is 1/340838.