Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6812/246,7515/103
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 6812,7515
Greatest Common Factor of Numerators i.e. GCF of 6812,7515 is 1 .
LCM of Denominators means LCM of 246,103 as per the given fractions.
LCM of 246,103 is 25338 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6812,7515
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6812
List of positive integer factors of 6812 that divides 6812 without a remainder.
1,2,4,13,26,52,131,262,524,1703,3406,6812
Factors of 7515
List of positive integer factors of 7515 that divides 7515 without a remainder.
1,3,5,9,15,45,167,501,835,1503,2505,7515
Greatest Common Factor
We found the factors 6812,7515 . The biggest common factor number is the GCF number.
So the greatest common factor 6812,7515 is 1.
Lets's calculate LCM of 246,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 25338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25338
Therefore, the GCF of Fractions 6812/246,7515/103 is 1/25338
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 246,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,103) x common factors =1 x 1 = 1
LCM(246,103) = ( 246 × 103 ) / 1
LCM(246,103) = 25338 / 1
LCM(246,103) = 25338
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 6812/246, 7515/103?
Answer: GCF of Numerators as per given numbers 6812/246, 7515/103 is
GCF of Numerators i.e. for 6812,7515 is 1
LCM of denominators i.e. for 246,103 is 25338.
Thus, GCF of Fractions is 1/25338.Finally, GCF of Fractions for 6812/246, 7515/103 is 1/25338.