Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5878/72,9841/773
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 5878,9841
Greatest Common Factor of Numerators i.e. GCF of 5878,9841 is 1 .
LCM of Denominators means LCM of 72,773 as per the given fractions.
LCM of 72,773 is 55656 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5878,9841
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5878
List of positive integer factors of 5878 that divides 5878 without a remainder.
1,2,2939,5878
Factors of 9841
List of positive integer factors of 9841 that divides 9841 without a remainder.
1,13,757,9841
Greatest Common Factor
We found the factors 5878,9841 . The biggest common factor number is the GCF number.
So the greatest common factor 5878,9841 is 1.
Lets's calculate LCM of 72,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 55656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55656
Therefore, the GCF of Fractions 5878/72,9841/773 is 1/55656
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 72,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,773) x common factors =1 x 1 = 1
LCM(72,773) = ( 72 × 773 ) / 1
LCM(72,773) = 55656 / 1
LCM(72,773) = 55656
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 5878/72, 9841/773?
Answer: GCF of Numerators as per given numbers 5878/72, 9841/773 is
GCF of Numerators i.e. for 5878,9841 is 1
LCM of denominators i.e. for 72,773 is 55656.
Thus, GCF of Fractions is 1/55656.Finally, GCF of Fractions for 5878/72, 9841/773 is 1/55656.