Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6843/777,3091/4244
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 6843,3091
Greatest Common Factor of Numerators i.e. GCF of 6843,3091 is 1 .
LCM of Denominators means LCM of 777,4244 as per the given fractions.
LCM of 777,4244 is 3297588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6843,3091
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6843
List of positive integer factors of 6843 that divides 6843 without a remainder.
1,3,2281,6843
Factors of 3091
List of positive integer factors of 3091 that divides 3091 without a remainder.
1,11,281,3091
Greatest Common Factor
We found the factors 6843,3091 . The biggest common factor number is the GCF number.
So the greatest common factor 6843,3091 is 1.
Lets's calculate LCM of 777,4244
Given numbers has no common factors except 1. So, there LCM is their product i.e 3297588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3297588
Therefore, the GCF of Fractions 6843/777,3091/4244 is 1/3297588
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 777,4244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,4244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,4244) x common factors =1 x 1 = 1
LCM(777,4244) = ( 777 × 4244 ) / 1
LCM(777,4244) = 3297588 / 1
LCM(777,4244) = 3297588
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 6843/777, 3091/4244?
Answer: GCF of Numerators as per given numbers 6843/777, 3091/4244 is
GCF of Numerators i.e. for 6843,3091 is 1
LCM of denominators i.e. for 777,4244 is 3297588.
Thus, GCF of Fractions is 1/3297588.Finally, GCF of Fractions for 6843/777, 3091/4244 is 1/3297588.