Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4837/913,8168/1789
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 4837,8168
Greatest Common Factor of Numerators i.e. GCF of 4837,8168 is 1 .
LCM of Denominators means LCM of 913,1789 as per the given fractions.
LCM of 913,1789 is 1633357 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4837,8168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4837
List of positive integer factors of 4837 that divides 4837 without a remainder.
1,7,691,4837
Factors of 8168
List of positive integer factors of 8168 that divides 8168 without a remainder.
1,2,4,8,1021,2042,4084,8168
Greatest Common Factor
We found the factors 4837,8168 . The biggest common factor number is the GCF number.
So the greatest common factor 4837,8168 is 1.
Lets's calculate LCM of 913,1789
Given numbers has no common factors except 1. So, there LCM is their product i.e 1633357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1633357
Therefore, the GCF of Fractions 4837/913,8168/1789 is 1/1633357
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 913,1789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,1789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,1789) x common factors =1 x 1 = 1
LCM(913,1789) = ( 913 × 1789 ) / 1
LCM(913,1789) = 1633357 / 1
LCM(913,1789) = 1633357
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 4837/913, 8168/1789?
Answer: GCF of Numerators as per given numbers 4837/913, 8168/1789 is
GCF of Numerators i.e. for 4837,8168 is 1
LCM of denominators i.e. for 913,1789 is 1633357.
Thus, GCF of Fractions is 1/1633357.Finally, GCF of Fractions for 4837/913, 8168/1789 is 1/1633357.