Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 515/68,763/81,846/437
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 515,763,846
Greatest Common Factor of Numerators i.e. GCF of 515,763,846 is 1 .
LCM of Denominators means LCM of 68,81,437 as per the given fractions.
LCM of 68,81,437 is 2406996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 515,763,846
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 515,763,846 . The biggest common factor number is the GCF number.
So the greatest common factor 515,763,846 is 1.
Lets's calculate LCM of 68,81,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 2406996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2406996
Therefore, the GCF of Fractions 515/68,763/81,846/437 is 1/2406996
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 68,81,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,81,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,81,437) x common factors =1 x 1 = 1
LCM(68,81,437) = ( 68 × 81 × 437 ) / 1
LCM(68,81,437) = 2406996 / 1
LCM(68,81,437) = 2406996
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 515/68, 763/81, 846/437?
Answer: GCF of Numerators as per given numbers 515/68, 763/81, 846/437 is
GCF of Numerators i.e. for 515,763,846 is 1
LCM of denominators i.e. for 68,81,437 is 2406996.
Thus, GCF of Fractions is 1/2406996.Finally, GCF of Fractions for 515/68, 763/81, 846/437 is 1/2406996.