Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5675/927,6667/1614
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 5675,6667
Greatest Common Factor of Numerators i.e. GCF of 5675,6667 is 1 .
LCM of Denominators means LCM of 927,1614 as per the given fractions.
LCM of 927,1614 is 498726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5675,6667
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5675
List of positive integer factors of 5675 that divides 5675 without a remainder.
1,5,25,227,1135,5675
Factors of 6667
List of positive integer factors of 6667 that divides 6667 without a remainder.
1,59,113,6667
Greatest Common Factor
We found the factors 5675,6667 . The biggest common factor number is the GCF number.
So the greatest common factor 5675,6667 is 1.
Lets's calculate LCM of 927,1614
3 | 927, 1614 |
309, 538 |
∴ So the LCM of the given numbers is 3 x 309 x 538 = 498726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/498726
Therefore, the GCF of Fractions 5675/927,6667/1614 is 1/498726
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 927,1614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,1614) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,1614) x common factors =3 x 1 = 3
LCM(927,1614) = ( 927 × 1614 ) / 3
LCM(927,1614) = 1496178 / 3
LCM(927,1614) = 498726
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 5675/927, 6667/1614?
Answer: GCF of Numerators as per given numbers 5675/927, 6667/1614 is
GCF of Numerators i.e. for 5675,6667 is 1
LCM of denominators i.e. for 927,1614 is 498726.
Thus, GCF of Fractions is 1/498726.Finally, GCF of Fractions for 5675/927, 6667/1614 is 1/498726.