Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/787,515/362
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 506,515
Greatest Common Factor of Numerators i.e. GCF of 506,515 is 1 .
LCM of Denominators means LCM of 787,362 as per the given fractions.
LCM of 787,362 is 284894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 506,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 506,515 . The biggest common factor number is the GCF number.
So the greatest common factor 506,515 is 1.
Lets's calculate LCM of 787,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 284894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284894
Therefore, the GCF of Fractions 506/787,515/362 is 1/284894
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 787,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,362) x common factors =1 x 1 = 1
LCM(787,362) = ( 787 × 362 ) / 1
LCM(787,362) = 284894 / 1
LCM(787,362) = 284894
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 506/787, 515/362?
Answer: GCF of Numerators as per given numbers 506/787, 515/362 is
GCF of Numerators i.e. for 506,515 is 1
LCM of denominators i.e. for 787,362 is 284894.
Thus, GCF of Fractions is 1/284894.Finally, GCF of Fractions for 506/787, 515/362 is 1/284894.