Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3297/12,7495/781
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 3297,7495
Greatest Common Factor of Numerators i.e. GCF of 3297,7495 is 1 .
LCM of Denominators means LCM of 12,781 as per the given fractions.
LCM of 12,781 is 9372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3297,7495
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3297
List of positive integer factors of 3297 that divides 3297 without a remainder.
1,3,7,21,157,471,1099,3297
Factors of 7495
List of positive integer factors of 7495 that divides 7495 without a remainder.
1,5,1499,7495
Greatest Common Factor
We found the factors 3297,7495 . The biggest common factor number is the GCF number.
So the greatest common factor 3297,7495 is 1.
Lets's calculate LCM of 12,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 9372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9372
Therefore, the GCF of Fractions 3297/12,7495/781 is 1/9372
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 12,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,781) x common factors =1 x 1 = 1
LCM(12,781) = ( 12 × 781 ) / 1
LCM(12,781) = 9372 / 1
LCM(12,781) = 9372
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 3297/12, 7495/781?
Answer: GCF of Numerators as per given numbers 3297/12, 7495/781 is
GCF of Numerators i.e. for 3297,7495 is 1
LCM of denominators i.e. for 12,781 is 9372.
Thus, GCF of Fractions is 1/9372.Finally, GCF of Fractions for 3297/12, 7495/781 is 1/9372.