Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6863/846,3870/731
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 6863,3870
Greatest Common Factor of Numerators i.e. GCF of 6863,3870 is 1 .
LCM of Denominators means LCM of 846,731 as per the given fractions.
LCM of 846,731 is 618426 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6863,3870
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6863
List of positive integer factors of 6863 that divides 6863 without a remainder.
1,6863
Factors of 3870
List of positive integer factors of 3870 that divides 3870 without a remainder.
1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 6863,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 6863,3870 is 1.
Lets's calculate LCM of 846,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 618426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618426
Therefore, the GCF of Fractions 6863/846,3870/731 is 1/618426
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 846,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(846,731) x common factors =1 x 1 = 1
LCM(846,731) = ( 846 × 731 ) / 1
LCM(846,731) = 618426 / 1
LCM(846,731) = 618426
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 6863/846, 3870/731?
Answer: GCF of Numerators as per given numbers 6863/846, 3870/731 is
GCF of Numerators i.e. for 6863,3870 is 1
LCM of denominators i.e. for 846,731 is 618426.
Thus, GCF of Fractions is 1/618426.Finally, GCF of Fractions for 6863/846, 3870/731 is 1/618426.