Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 385/799,4562/497
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 385,4562
Greatest Common Factor of Numerators i.e. GCF of 385,4562 is 1 .
LCM of Denominators means LCM of 799,497 as per the given fractions.
LCM of 799,497 is 397103 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 385,4562
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 4562
List of positive integer factors of 4562 that divides 4562 without a remainder.
1,2,2281,4562
Greatest Common Factor
We found the factors 385,4562 . The biggest common factor number is the GCF number.
So the greatest common factor 385,4562 is 1.
Lets's calculate LCM of 799,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 397103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397103
Therefore, the GCF of Fractions 385/799,4562/497 is 1/397103
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 799,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,497) x common factors =1 x 1 = 1
LCM(799,497) = ( 799 × 497 ) / 1
LCM(799,497) = 397103 / 1
LCM(799,497) = 397103
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 385/799, 4562/497?
Answer: GCF of Numerators as per given numbers 385/799, 4562/497 is
GCF of Numerators i.e. for 385,4562 is 1
LCM of denominators i.e. for 799,497 is 397103.
Thus, GCF of Fractions is 1/397103.Finally, GCF of Fractions for 385/799, 4562/497 is 1/397103.