Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5552/951,3145/2148
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 5552,3145
Greatest Common Factor of Numerators i.e. GCF of 5552,3145 is 1 .
LCM of Denominators means LCM of 951,2148 as per the given fractions.
LCM of 951,2148 is 680916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5552,3145
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5552
List of positive integer factors of 5552 that divides 5552 without a remainder.
1,2,4,8,16,347,694,1388,2776,5552
Factors of 3145
List of positive integer factors of 3145 that divides 3145 without a remainder.
1,5,17,37,85,185,629,3145
Greatest Common Factor
We found the factors 5552,3145 . The biggest common factor number is the GCF number.
So the greatest common factor 5552,3145 is 1.
Lets's calculate LCM of 951,2148
3 | 951, 2148 |
317, 716 |
∴ So the LCM of the given numbers is 3 x 317 x 716 = 680916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680916
Therefore, the GCF of Fractions 5552/951,3145/2148 is 1/680916
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 951,2148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,2148) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(951,2148) x common factors =3 x 1 = 3
LCM(951,2148) = ( 951 × 2148 ) / 3
LCM(951,2148) = 2042748 / 3
LCM(951,2148) = 680916
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 5552/951, 3145/2148?
Answer: GCF of Numerators as per given numbers 5552/951, 3145/2148 is
GCF of Numerators i.e. for 5552,3145 is 1
LCM of denominators i.e. for 951,2148 is 680916.
Thus, GCF of Fractions is 1/680916.Finally, GCF of Fractions for 5552/951, 3145/2148 is 1/680916.