Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6450/372,2078/3342
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 6450,2078
Greatest Common Factor of Numerators i.e. GCF of 6450,2078 is 2 .
LCM of Denominators means LCM of 372,3342 as per the given fractions.
LCM of 372,3342 is 207204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6450,2078
2 | 6450, 2078 |
3225, 1039 |
∴ So the GCF of the given numbers is 2 = 2
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 2078
List of positive integer factors of 2078 that divides 2078 without a remainder.
1,2,1039,2078
Greatest Common Factor
We found the factors 6450,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 6450,2078 is 2.
Lets's calculate LCM of 372,3342
2 | 372, 3342 |
3 | 186, 1671 |
62, 557 |
∴ So the LCM of the given numbers is 2 x 3 x 62 x 557 = 207204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207204
Therefore, the GCF of Fractions 6450/372,2078/3342 is 2/207204
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 372,3342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,3342) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(372,3342) x common factors =6 x 1 = 6
LCM(372,3342) = ( 372 × 3342 ) / 6
LCM(372,3342) = 1243224 / 6
LCM(372,3342) = 207204
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 6450/372, 2078/3342?
Answer: GCF of Numerators as per given numbers 6450/372, 2078/3342 is
GCF of Numerators i.e. for 6450,2078 is 2
LCM of denominators i.e. for 372,3342 is 207204.
Thus, GCF of Fractions is 2/207204.Finally, GCF of Fractions for 6450/372, 2078/3342 is 2/207204.