Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 843/722,4159/6708
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 843,4159
Greatest Common Factor of Numerators i.e. GCF of 843,4159 is 1 .
LCM of Denominators means LCM of 722,6708 as per the given fractions.
LCM of 722,6708 is 2421588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 843,4159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 4159
List of positive integer factors of 4159 that divides 4159 without a remainder.
1,4159
Greatest Common Factor
We found the factors 843,4159 . The biggest common factor number is the GCF number.
So the greatest common factor 843,4159 is 1.
Lets's calculate LCM of 722,6708
2 | 722, 6708 |
361, 3354 |
∴ So the LCM of the given numbers is 2 x 361 x 3354 = 2421588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2421588
Therefore, the GCF of Fractions 843/722,4159/6708 is 1/2421588
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 722,6708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,6708) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,6708) x common factors =2 x 1 = 2
LCM(722,6708) = ( 722 × 6708 ) / 2
LCM(722,6708) = 4843176 / 2
LCM(722,6708) = 2421588
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 843/722, 4159/6708?
Answer: GCF of Numerators as per given numbers 843/722, 4159/6708 is
GCF of Numerators i.e. for 843,4159 is 1
LCM of denominators i.e. for 722,6708 is 2421588.
Thus, GCF of Fractions is 1/2421588.Finally, GCF of Fractions for 843/722, 4159/6708 is 1/2421588.