Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6450/337,7818/896
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 6450,7818
Greatest Common Factor of Numerators i.e. GCF of 6450,7818 is 6 .
LCM of Denominators means LCM of 337,896 as per the given fractions.
LCM of 337,896 is 301952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6450,7818
2 | 6450, 7818 |
3 | 3225, 3909 |
1075, 1303 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6450
List of positive integer factors of 6450 that divides 6450 without a remainder.
1,2,3,5,6,10,15,25,30,43,50,75,86,129,150,215,258,430,645,1075,1290,2150,3225,6450
Factors of 7818
List of positive integer factors of 7818 that divides 7818 without a remainder.
1,2,3,6,1303,2606,3909,7818
Greatest Common Factor
We found the factors 6450,7818 . The biggest common factor number is the GCF number.
So the greatest common factor 6450,7818 is 6.
Lets's calculate LCM of 337,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 301952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/301952
Therefore, the GCF of Fractions 6450/337,7818/896 is 6/301952
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 337,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,896) x common factors =1 x 1 = 1
LCM(337,896) = ( 337 × 896 ) / 1
LCM(337,896) = 301952 / 1
LCM(337,896) = 301952
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 6450/337, 7818/896?
Answer: GCF of Numerators as per given numbers 6450/337, 7818/896 is
GCF of Numerators i.e. for 6450,7818 is 6
LCM of denominators i.e. for 337,896 is 301952.
Thus, GCF of Fractions is 6/301952.Finally, GCF of Fractions for 6450/337, 7818/896 is 6/301952.