Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7570/467,9269/6799
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 7570,9269
Greatest Common Factor of Numerators i.e. GCF of 7570,9269 is 1 .
LCM of Denominators means LCM of 467,6799 as per the given fractions.
LCM of 467,6799 is 3175133 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7570,9269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7570
List of positive integer factors of 7570 that divides 7570 without a remainder.
1,2,5,10,757,1514,3785,7570
Factors of 9269
List of positive integer factors of 9269 that divides 9269 without a remainder.
1,13,23,31,299,403,713,9269
Greatest Common Factor
We found the factors 7570,9269 . The biggest common factor number is the GCF number.
So the greatest common factor 7570,9269 is 1.
Lets's calculate LCM of 467,6799
Given numbers has no common factors except 1. So, there LCM is their product i.e 3175133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3175133
Therefore, the GCF of Fractions 7570/467,9269/6799 is 1/3175133
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 467,6799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,6799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,6799) x common factors =1 x 1 = 1
LCM(467,6799) = ( 467 × 6799 ) / 1
LCM(467,6799) = 3175133 / 1
LCM(467,6799) = 3175133
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 7570/467, 9269/6799?
Answer: GCF of Numerators as per given numbers 7570/467, 9269/6799 is
GCF of Numerators i.e. for 7570,9269 is 1
LCM of denominators i.e. for 467,6799 is 3175133.
Thus, GCF of Fractions is 1/3175133.Finally, GCF of Fractions for 7570/467, 9269/6799 is 1/3175133.