Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6928/215,7542/6073
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 6928,7542
Greatest Common Factor of Numerators i.e. GCF of 6928,7542 is 2 .
LCM of Denominators means LCM of 215,6073 as per the given fractions.
LCM of 215,6073 is 1305695 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6928,7542
2 | 6928, 7542 |
3464, 3771 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6928
List of positive integer factors of 6928 that divides 6928 without a remainder.
1,2,4,8,16,433,866,1732,3464,6928
Factors of 7542
List of positive integer factors of 7542 that divides 7542 without a remainder.
1,2,3,6,9,18,419,838,1257,2514,3771,7542
Greatest Common Factor
We found the factors 6928,7542 . The biggest common factor number is the GCF number.
So the greatest common factor 6928,7542 is 2.
Lets's calculate LCM of 215,6073
Given numbers has no common factors except 1. So, there LCM is their product i.e 1305695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1305695
Therefore, the GCF of Fractions 6928/215,7542/6073 is 2/1305695
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 215,6073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,6073) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,6073) x common factors =1 x 1 = 1
LCM(215,6073) = ( 215 × 6073 ) / 1
LCM(215,6073) = 1305695 / 1
LCM(215,6073) = 1305695
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 6928/215, 7542/6073?
Answer: GCF of Numerators as per given numbers 6928/215, 7542/6073 is
GCF of Numerators i.e. for 6928,7542 is 2
LCM of denominators i.e. for 215,6073 is 1305695.
Thus, GCF of Fractions is 2/1305695.Finally, GCF of Fractions for 6928/215, 7542/6073 is 2/1305695.