Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6330/174,3767/2727
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 6330,3767
Greatest Common Factor of Numerators i.e. GCF of 6330,3767 is 1 .
LCM of Denominators means LCM of 174,2727 as per the given fractions.
LCM of 174,2727 is 158166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6330,3767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6330
List of positive integer factors of 6330 that divides 6330 without a remainder.
1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330
Factors of 3767
List of positive integer factors of 3767 that divides 3767 without a remainder.
1,3767
Greatest Common Factor
We found the factors 6330,3767 . The biggest common factor number is the GCF number.
So the greatest common factor 6330,3767 is 1.
Lets's calculate LCM of 174,2727
3 | 174, 2727 |
58, 909 |
∴ So the LCM of the given numbers is 3 x 58 x 909 = 158166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158166
Therefore, the GCF of Fractions 6330/174,3767/2727 is 1/158166
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 174,2727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,2727) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,2727) x common factors =3 x 1 = 3
LCM(174,2727) = ( 174 × 2727 ) / 3
LCM(174,2727) = 474498 / 3
LCM(174,2727) = 158166
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 6330/174, 3767/2727?
Answer: GCF of Numerators as per given numbers 6330/174, 3767/2727 is
GCF of Numerators i.e. for 6330,3767 is 1
LCM of denominators i.e. for 174,2727 is 158166.
Thus, GCF of Fractions is 1/158166.Finally, GCF of Fractions for 6330/174, 3767/2727 is 1/158166.