Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6619/324,4056/2840
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 6619,4056
Greatest Common Factor of Numerators i.e. GCF of 6619,4056 is 1 .
LCM of Denominators means LCM of 324,2840 as per the given fractions.
LCM of 324,2840 is 230040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6619,4056
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6619
List of positive integer factors of 6619 that divides 6619 without a remainder.
1,6619
Factors of 4056
List of positive integer factors of 4056 that divides 4056 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,169,312,338,507,676,1014,1352,2028,4056
Greatest Common Factor
We found the factors 6619,4056 . The biggest common factor number is the GCF number.
So the greatest common factor 6619,4056 is 1.
Lets's calculate LCM of 324,2840
2 | 324, 2840 |
2 | 162, 1420 |
81, 710 |
∴ So the LCM of the given numbers is 2 x 2 x 81 x 710 = 230040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230040
Therefore, the GCF of Fractions 6619/324,4056/2840 is 1/230040
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 324,2840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,2840) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(324,2840) x common factors =4 x 1 = 4
LCM(324,2840) = ( 324 × 2840 ) / 4
LCM(324,2840) = 920160 / 4
LCM(324,2840) = 230040
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 6619/324, 4056/2840?
Answer: GCF of Numerators as per given numbers 6619/324, 4056/2840 is
GCF of Numerators i.e. for 6619,4056 is 1
LCM of denominators i.e. for 324,2840 is 230040.
Thus, GCF of Fractions is 1/230040.Finally, GCF of Fractions for 6619/324, 4056/2840 is 1/230040.