Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8057/195,2155/368
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 8057,2155
Greatest Common Factor of Numerators i.e. GCF of 8057,2155 is 1 .
LCM of Denominators means LCM of 195,368 as per the given fractions.
LCM of 195,368 is 71760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8057,2155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8057
List of positive integer factors of 8057 that divides 8057 without a remainder.
1,7,1151,8057
Factors of 2155
List of positive integer factors of 2155 that divides 2155 without a remainder.
1,5,431,2155
Greatest Common Factor
We found the factors 8057,2155 . The biggest common factor number is the GCF number.
So the greatest common factor 8057,2155 is 1.
Lets's calculate LCM of 195,368
Given numbers has no common factors except 1. So, there LCM is their product i.e 71760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71760
Therefore, the GCF of Fractions 8057/195,2155/368 is 1/71760
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 195,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(195,368) x common factors =1 x 1 = 1
LCM(195,368) = ( 195 × 368 ) / 1
LCM(195,368) = 71760 / 1
LCM(195,368) = 71760
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 8057/195, 2155/368?
Answer: GCF of Numerators as per given numbers 8057/195, 2155/368 is
GCF of Numerators i.e. for 8057,2155 is 1
LCM of denominators i.e. for 195,368 is 71760.
Thus, GCF of Fractions is 1/71760.Finally, GCF of Fractions for 8057/195, 2155/368 is 1/71760.