Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2235/109,7663/274
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 2235,7663
Greatest Common Factor of Numerators i.e. GCF of 2235,7663 is 1 .
LCM of Denominators means LCM of 109,274 as per the given fractions.
LCM of 109,274 is 29866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2235,7663
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2235
List of positive integer factors of 2235 that divides 2235 without a remainder.
1,3,5,15,149,447,745,2235
Factors of 7663
List of positive integer factors of 7663 that divides 7663 without a remainder.
1,79,97,7663
Greatest Common Factor
We found the factors 2235,7663 . The biggest common factor number is the GCF number.
So the greatest common factor 2235,7663 is 1.
Lets's calculate LCM of 109,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 29866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29866
Therefore, the GCF of Fractions 2235/109,7663/274 is 1/29866
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 109,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,274) x common factors =1 x 1 = 1
LCM(109,274) = ( 109 × 274 ) / 1
LCM(109,274) = 29866 / 1
LCM(109,274) = 29866
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 2235/109, 7663/274?
Answer: GCF of Numerators as per given numbers 2235/109, 7663/274 is
GCF of Numerators i.e. for 2235,7663 is 1
LCM of denominators i.e. for 109,274 is 29866.
Thus, GCF of Fractions is 1/29866.Finally, GCF of Fractions for 2235/109, 7663/274 is 1/29866.