Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6111/935,8497/5105
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 6111,8497
Greatest Common Factor of Numerators i.e. GCF of 6111,8497 is 1 .
LCM of Denominators means LCM of 935,5105 as per the given fractions.
LCM of 935,5105 is 954635 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6111,8497
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6111
List of positive integer factors of 6111 that divides 6111 without a remainder.
1,3,7,9,21,63,97,291,679,873,2037,6111
Factors of 8497
List of positive integer factors of 8497 that divides 8497 without a remainder.
1,29,293,8497
Greatest Common Factor
We found the factors 6111,8497 . The biggest common factor number is the GCF number.
So the greatest common factor 6111,8497 is 1.
Lets's calculate LCM of 935,5105
5 | 935, 5105 |
187, 1021 |
∴ So the LCM of the given numbers is 5 x 187 x 1021 = 954635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/954635
Therefore, the GCF of Fractions 6111/935,8497/5105 is 1/954635
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 935,5105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,5105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(935,5105) x common factors =5 x 1 = 5
LCM(935,5105) = ( 935 × 5105 ) / 5
LCM(935,5105) = 4773175 / 5
LCM(935,5105) = 954635
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 6111/935, 8497/5105?
Answer: GCF of Numerators as per given numbers 6111/935, 8497/5105 is
GCF of Numerators i.e. for 6111,8497 is 1
LCM of denominators i.e. for 935,5105 is 954635.
Thus, GCF of Fractions is 1/954635.Finally, GCF of Fractions for 6111/935, 8497/5105 is 1/954635.