Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 796/2428,503/8811
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 796,503
Greatest Common Factor of Numerators i.e. GCF of 796,503 is 1 .
LCM of Denominators means LCM of 2428,8811 as per the given fractions.
LCM of 2428,8811 is 21393108 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 796,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 796,503 . The biggest common factor number is the GCF number.
So the greatest common factor 796,503 is 1.
Lets's calculate LCM of 2428,8811
Given numbers has no common factors except 1. So, there LCM is their product i.e 21393108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21393108
Therefore, the GCF of Fractions 796/2428,503/8811 is 1/21393108
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 2428,8811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2428,8811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2428,8811) x common factors =1 x 1 = 1
LCM(2428,8811) = ( 2428 × 8811 ) / 1
LCM(2428,8811) = 21393108 / 1
LCM(2428,8811) = 21393108
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 796/2428, 503/8811?
Answer: GCF of Numerators as per given numbers 796/2428, 503/8811 is
GCF of Numerators i.e. for 796,503 is 1
LCM of denominators i.e. for 2428,8811 is 21393108.
Thus, GCF of Fractions is 1/21393108.Finally, GCF of Fractions for 796/2428, 503/8811 is 1/21393108.