Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2366/758,7713/449
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 2366,7713
Greatest Common Factor of Numerators i.e. GCF of 2366,7713 is 1 .
LCM of Denominators means LCM of 758,449 as per the given fractions.
LCM of 758,449 is 340342 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2366,7713
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2366
List of positive integer factors of 2366 that divides 2366 without a remainder.
1,2,7,13,14,26,91,169,182,338,1183,2366
Factors of 7713
List of positive integer factors of 7713 that divides 7713 without a remainder.
1,3,9,857,2571,7713
Greatest Common Factor
We found the factors 2366,7713 . The biggest common factor number is the GCF number.
So the greatest common factor 2366,7713 is 1.
Lets's calculate LCM of 758,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 340342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340342
Therefore, the GCF of Fractions 2366/758,7713/449 is 1/340342
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 758,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,449) x common factors =1 x 1 = 1
LCM(758,449) = ( 758 × 449 ) / 1
LCM(758,449) = 340342 / 1
LCM(758,449) = 340342
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 2366/758, 7713/449?
Answer: GCF of Numerators as per given numbers 2366/758, 7713/449 is
GCF of Numerators i.e. for 2366,7713 is 1
LCM of denominators i.e. for 758,449 is 340342.
Thus, GCF of Fractions is 1/340342.Finally, GCF of Fractions for 2366/758, 7713/449 is 1/340342.