Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3159/893,7958/6443
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 3159,7958
Greatest Common Factor of Numerators i.e. GCF of 3159,7958 is 1 .
LCM of Denominators means LCM of 893,6443 as per the given fractions.
LCM of 893,6443 is 5753599 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3159,7958
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3159
List of positive integer factors of 3159 that divides 3159 without a remainder.
1,3,9,13,27,39,81,117,243,351,1053,3159
Factors of 7958
List of positive integer factors of 7958 that divides 7958 without a remainder.
1,2,23,46,173,346,3979,7958
Greatest Common Factor
We found the factors 3159,7958 . The biggest common factor number is the GCF number.
So the greatest common factor 3159,7958 is 1.
Lets's calculate LCM of 893,6443
Given numbers has no common factors except 1. So, there LCM is their product i.e 5753599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5753599
Therefore, the GCF of Fractions 3159/893,7958/6443 is 1/5753599
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 893,6443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,6443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,6443) x common factors =1 x 1 = 1
LCM(893,6443) = ( 893 × 6443 ) / 1
LCM(893,6443) = 5753599 / 1
LCM(893,6443) = 5753599
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 3159/893, 7958/6443?
Answer: GCF of Numerators as per given numbers 3159/893, 7958/6443 is
GCF of Numerators i.e. for 3159,7958 is 1
LCM of denominators i.e. for 893,6443 is 5753599.
Thus, GCF of Fractions is 1/5753599.Finally, GCF of Fractions for 3159/893, 7958/6443 is 1/5753599.