Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/747,8035/6082
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 83,8035
Greatest Common Factor of Numerators i.e. GCF of 83,8035 is 1 .
LCM of Denominators means LCM of 747,6082 as per the given fractions.
LCM of 747,6082 is 4543254 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,8035
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 8035
List of positive integer factors of 8035 that divides 8035 without a remainder.
1,5,1607,8035
Greatest Common Factor
We found the factors 83,8035 . The biggest common factor number is the GCF number.
So the greatest common factor 83,8035 is 1.
Lets's calculate LCM of 747,6082
Given numbers has no common factors except 1. So, there LCM is their product i.e 4543254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4543254
Therefore, the GCF of Fractions 83/747,8035/6082 is 1/4543254
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 747,6082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,6082) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,6082) x common factors =1 x 1 = 1
LCM(747,6082) = ( 747 × 6082 ) / 1
LCM(747,6082) = 4543254 / 1
LCM(747,6082) = 4543254
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 83/747, 8035/6082?
Answer: GCF of Numerators as per given numbers 83/747, 8035/6082 is
GCF of Numerators i.e. for 83,8035 is 1
LCM of denominators i.e. for 747,6082 is 4543254.
Thus, GCF of Fractions is 1/4543254.Finally, GCF of Fractions for 83/747, 8035/6082 is 1/4543254.