Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2073/695,2339/338
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 2073,2339
Greatest Common Factor of Numerators i.e. GCF of 2073,2339 is 1 .
LCM of Denominators means LCM of 695,338 as per the given fractions.
LCM of 695,338 is 234910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2073,2339
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2073
List of positive integer factors of 2073 that divides 2073 without a remainder.
1,3,691,2073
Factors of 2339
List of positive integer factors of 2339 that divides 2339 without a remainder.
1,2339
Greatest Common Factor
We found the factors 2073,2339 . The biggest common factor number is the GCF number.
So the greatest common factor 2073,2339 is 1.
Lets's calculate LCM of 695,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 234910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234910
Therefore, the GCF of Fractions 2073/695,2339/338 is 1/234910
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 695,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,338) x common factors =1 x 1 = 1
LCM(695,338) = ( 695 × 338 ) / 1
LCM(695,338) = 234910 / 1
LCM(695,338) = 234910
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 2073/695, 2339/338?
Answer: GCF of Numerators as per given numbers 2073/695, 2339/338 is
GCF of Numerators i.e. for 2073,2339 is 1
LCM of denominators i.e. for 695,338 is 234910.
Thus, GCF of Fractions is 1/234910.Finally, GCF of Fractions for 2073/695, 2339/338 is 1/234910.