Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9253/39,9721/686
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 9253,9721
Greatest Common Factor of Numerators i.e. GCF of 9253,9721 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 9253,9721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9253
List of positive integer factors of 9253 that divides 9253 without a remainder.
1,19,487,9253
Factors of 9721
List of positive integer factors of 9721 that divides 9721 without a remainder.
1,9721
Greatest Common Factor
We found the factors 9253,9721 . The biggest common factor number is the GCF number.
So the greatest common factor 9253,9721 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 9253/39,9721/686 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 9253/39, 9721/686?
Answer: GCF of Numerators as per given numbers 9253/39, 9721/686 is
GCF of Numerators i.e. for 9253,9721 is 1
LCM of denominators i.e. for 39,686 is 26754.
Thus, GCF of Fractions is 1/26754.Finally, GCF of Fractions for 9253/39, 9721/686 is 1/26754.