Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6450/872,1777/329
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 6450,1777
Greatest Common Factor of Numerators i.e. GCF of 6450,1777 is 1 .
LCM of Denominators means LCM of 872,329 as per the given fractions.
LCM of 872,329 is 286888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6450,1777
∴ So GCF of numbers is 1 because of no common factors present between them.
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 1777
List of positive integer factors of 1777 that divides 1777 without a remainder.
1,1777
Greatest Common Factor
We found the factors 6450,1777 . The biggest common factor number is the GCF number.
So the greatest common factor 6450,1777 is 1.
Lets's calculate LCM of 872,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 286888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286888
Therefore, the GCF of Fractions 6450/872,1777/329 is 1/286888
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 872,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,329) x common factors =1 x 1 = 1
LCM(872,329) = ( 872 × 329 ) / 1
LCM(872,329) = 286888 / 1
LCM(872,329) = 286888
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 6450/872, 1777/329?
Answer: GCF of Numerators as per given numbers 6450/872, 1777/329 is
GCF of Numerators i.e. for 6450,1777 is 1
LCM of denominators i.e. for 872,329 is 286888.
Thus, GCF of Fractions is 1/286888.Finally, GCF of Fractions for 6450/872, 1777/329 is 1/286888.