Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9355/403,5781/274
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 9355,5781
Greatest Common Factor of Numerators i.e. GCF of 9355,5781 is 1 .
LCM of Denominators means LCM of 403,274 as per the given fractions.
LCM of 403,274 is 110422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9355,5781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9355
List of positive integer factors of 9355 that divides 9355 without a remainder.
1,5,1871,9355
Factors of 5781
List of positive integer factors of 5781 that divides 5781 without a remainder.
1,3,41,47,123,141,1927,5781
Greatest Common Factor
We found the factors 9355,5781 . The biggest common factor number is the GCF number.
So the greatest common factor 9355,5781 is 1.
Lets's calculate LCM of 403,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 110422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110422
Therefore, the GCF of Fractions 9355/403,5781/274 is 1/110422
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 403,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,274) x common factors =1 x 1 = 1
LCM(403,274) = ( 403 × 274 ) / 1
LCM(403,274) = 110422 / 1
LCM(403,274) = 110422
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 9355/403, 5781/274?
Answer: GCF of Numerators as per given numbers 9355/403, 5781/274 is
GCF of Numerators i.e. for 9355,5781 is 1
LCM of denominators i.e. for 403,274 is 110422.
Thus, GCF of Fractions is 1/110422.Finally, GCF of Fractions for 9355/403, 5781/274 is 1/110422.