Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6889/654,9290/831
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 6889,9290
Greatest Common Factor of Numerators i.e. GCF of 6889,9290 is 1 .
LCM of Denominators means LCM of 654,831 as per the given fractions.
LCM of 654,831 is 181158 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6889,9290
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6889
List of positive integer factors of 6889 that divides 6889 without a remainder.
1,83,6889
Factors of 9290
List of positive integer factors of 9290 that divides 9290 without a remainder.
1,2,5,10,929,1858,4645,9290
Greatest Common Factor
We found the factors 6889,9290 . The biggest common factor number is the GCF number.
So the greatest common factor 6889,9290 is 1.
Lets's calculate LCM of 654,831
3 | 654, 831 |
218, 277 |
∴ So the LCM of the given numbers is 3 x 218 x 277 = 181158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181158
Therefore, the GCF of Fractions 6889/654,9290/831 is 1/181158
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 654,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,831) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(654,831) x common factors =3 x 1 = 3
LCM(654,831) = ( 654 × 831 ) / 3
LCM(654,831) = 543474 / 3
LCM(654,831) = 181158
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 6889/654, 9290/831?
Answer: GCF of Numerators as per given numbers 6889/654, 9290/831 is
GCF of Numerators i.e. for 6889,9290 is 1
LCM of denominators i.e. for 654,831 is 181158.
Thus, GCF of Fractions is 1/181158.Finally, GCF of Fractions for 6889/654, 9290/831 is 1/181158.