Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7244/780,3315/6923
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 7244,3315
Greatest Common Factor of Numerators i.e. GCF of 7244,3315 is 1 .
LCM of Denominators means LCM of 780,6923 as per the given fractions.
LCM of 780,6923 is 5399940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7244,3315
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7244
List of positive integer factors of 7244 that divides 7244 without a remainder.
1,2,4,1811,3622,7244
Factors of 3315
List of positive integer factors of 3315 that divides 3315 without a remainder.
1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315
Greatest Common Factor
We found the factors 7244,3315 . The biggest common factor number is the GCF number.
So the greatest common factor 7244,3315 is 1.
Lets's calculate LCM of 780,6923
Given numbers has no common factors except 1. So, there LCM is their product i.e 5399940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5399940
Therefore, the GCF of Fractions 7244/780,3315/6923 is 1/5399940
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 780,6923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,6923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(780,6923) x common factors =1 x 1 = 1
LCM(780,6923) = ( 780 × 6923 ) / 1
LCM(780,6923) = 5399940 / 1
LCM(780,6923) = 5399940
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 7244/780, 3315/6923?
Answer: GCF of Numerators as per given numbers 7244/780, 3315/6923 is
GCF of Numerators i.e. for 7244,3315 is 1
LCM of denominators i.e. for 780,6923 is 5399940.
Thus, GCF of Fractions is 1/5399940.Finally, GCF of Fractions for 7244/780, 3315/6923 is 1/5399940.