Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8713/843,2738/4030
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 8713,2738
Greatest Common Factor of Numerators i.e. GCF of 8713,2738 is 1 .
LCM of Denominators means LCM of 843,4030 as per the given fractions.
LCM of 843,4030 is 3397290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8713,2738
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8713
List of positive integer factors of 8713 that divides 8713 without a remainder.
1,8713
Factors of 2738
List of positive integer factors of 2738 that divides 2738 without a remainder.
1,2,37,74,1369,2738
Greatest Common Factor
We found the factors 8713,2738 . The biggest common factor number is the GCF number.
So the greatest common factor 8713,2738 is 1.
Lets's calculate LCM of 843,4030
Given numbers has no common factors except 1. So, there LCM is their product i.e 3397290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3397290
Therefore, the GCF of Fractions 8713/843,2738/4030 is 1/3397290
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 843,4030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,4030) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,4030) x common factors =1 x 1 = 1
LCM(843,4030) = ( 843 × 4030 ) / 1
LCM(843,4030) = 3397290 / 1
LCM(843,4030) = 3397290
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 8713/843, 2738/4030?
Answer: GCF of Numerators as per given numbers 8713/843, 2738/4030 is
GCF of Numerators i.e. for 8713,2738 is 1
LCM of denominators i.e. for 843,4030 is 3397290.
Thus, GCF of Fractions is 1/3397290.Finally, GCF of Fractions for 8713/843, 2738/4030 is 1/3397290.