Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 883/307,4813/734
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 883,4813
Greatest Common Factor of Numerators i.e. GCF of 883,4813 is 1 .
LCM of Denominators means LCM of 307,734 as per the given fractions.
LCM of 307,734 is 225338 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 883,4813
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 4813
List of positive integer factors of 4813 that divides 4813 without a remainder.
1,4813
Greatest Common Factor
We found the factors 883,4813 . The biggest common factor number is the GCF number.
So the greatest common factor 883,4813 is 1.
Lets's calculate LCM of 307,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 225338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225338
Therefore, the GCF of Fractions 883/307,4813/734 is 1/225338
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 307,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,734) x common factors =1 x 1 = 1
LCM(307,734) = ( 307 × 734 ) / 1
LCM(307,734) = 225338 / 1
LCM(307,734) = 225338
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 883/307, 4813/734?
Answer: GCF of Numerators as per given numbers 883/307, 4813/734 is
GCF of Numerators i.e. for 883,4813 is 1
LCM of denominators i.e. for 307,734 is 225338.
Thus, GCF of Fractions is 1/225338.Finally, GCF of Fractions for 883/307, 4813/734 is 1/225338.