Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6933/39,5758/686
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 6933,5758
Greatest Common Factor of Numerators i.e. GCF of 6933,5758 is 1 .
LCM of Denominators means LCM of 39,686 as per the given fractions.
LCM of 39,686 is 26754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6933,5758
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6933
List of positive integer factors of 6933 that divides 6933 without a remainder.
1,3,2311,6933
Factors of 5758
List of positive integer factors of 5758 that divides 5758 without a remainder.
1,2,2879,5758
Greatest Common Factor
We found the factors 6933,5758 . The biggest common factor number is the GCF number.
So the greatest common factor 6933,5758 is 1.
Lets's calculate LCM of 39,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 26754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26754
Therefore, the GCF of Fractions 6933/39,5758/686 is 1/26754
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 39,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,686) x common factors =1 x 1 = 1
LCM(39,686) = ( 39 × 686 ) / 1
LCM(39,686) = 26754 / 1
LCM(39,686) = 26754
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 6933/39, 5758/686?
Answer: GCF of Numerators as per given numbers 6933/39, 5758/686 is
GCF of Numerators i.e. for 6933,5758 is 1
LCM of denominators i.e. for 39,686 is 26754.
Thus, GCF of Fractions is 1/26754.Finally, GCF of Fractions for 6933/39, 5758/686 is 1/26754.