Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3860/31,6293/687
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 3860,6293
Greatest Common Factor of Numerators i.e. GCF of 3860,6293 is 1 .
LCM of Denominators means LCM of 31,687 as per the given fractions.
LCM of 31,687 is 21297 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3860,6293
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3860
List of positive integer factors of 3860 that divides 3860 without a remainder.
1,2,4,5,10,20,193,386,772,965,1930,3860
Factors of 6293
List of positive integer factors of 6293 that divides 6293 without a remainder.
1,7,29,31,203,217,899,6293
Greatest Common Factor
We found the factors 3860,6293 . The biggest common factor number is the GCF number.
So the greatest common factor 3860,6293 is 1.
Lets's calculate LCM of 31,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 21297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21297
Therefore, the GCF of Fractions 3860/31,6293/687 is 1/21297
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 31,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,687) x common factors =1 x 1 = 1
LCM(31,687) = ( 31 × 687 ) / 1
LCM(31,687) = 21297 / 1
LCM(31,687) = 21297
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 3860/31, 6293/687?
Answer: GCF of Numerators as per given numbers 3860/31, 6293/687 is
GCF of Numerators i.e. for 3860,6293 is 1
LCM of denominators i.e. for 31,687 is 21297.
Thus, GCF of Fractions is 1/21297.Finally, GCF of Fractions for 3860/31, 6293/687 is 1/21297.