Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5854/669,4095/4047
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 5854,4095
Greatest Common Factor of Numerators i.e. GCF of 5854,4095 is 1 .
LCM of Denominators means LCM of 669,4047 as per the given fractions.
LCM of 669,4047 is 902481 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5854,4095
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5854
List of positive integer factors of 5854 that divides 5854 without a remainder.
1,2,2927,5854
Factors of 4095
List of positive integer factors of 4095 that divides 4095 without a remainder.
1,3,5,7,9,13,15,21,35,39,45,63,65,91,105,117,195,273,315,455,585,819,1365,4095
Greatest Common Factor
We found the factors 5854,4095 . The biggest common factor number is the GCF number.
So the greatest common factor 5854,4095 is 1.
Lets's calculate LCM of 669,4047
3 | 669, 4047 |
223, 1349 |
∴ So the LCM of the given numbers is 3 x 223 x 1349 = 902481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/902481
Therefore, the GCF of Fractions 5854/669,4095/4047 is 1/902481
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 669,4047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,4047) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(669,4047) x common factors =3 x 1 = 3
LCM(669,4047) = ( 669 × 4047 ) / 3
LCM(669,4047) = 2707443 / 3
LCM(669,4047) = 902481
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 5854/669, 4095/4047?
Answer: GCF of Numerators as per given numbers 5854/669, 4095/4047 is
GCF of Numerators i.e. for 5854,4095 is 1
LCM of denominators i.e. for 669,4047 is 902481.
Thus, GCF of Fractions is 1/902481.Finally, GCF of Fractions for 5854/669, 4095/4047 is 1/902481.