Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/29,721/7199
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 848,721
Greatest Common Factor of Numerators i.e. GCF of 848,721 is 1 .
LCM of Denominators means LCM of 29,7199 as per the given fractions.
LCM of 29,7199 is 208771 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 848,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 848,721 . The biggest common factor number is the GCF number.
So the greatest common factor 848,721 is 1.
Lets's calculate LCM of 29,7199
Given numbers has no common factors except 1. So, there LCM is their product i.e 208771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208771
Therefore, the GCF of Fractions 848/29,721/7199 is 1/208771
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 29,7199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,7199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,7199) x common factors =1 x 1 = 1
LCM(29,7199) = ( 29 × 7199 ) / 1
LCM(29,7199) = 208771 / 1
LCM(29,7199) = 208771
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 848/29, 721/7199?
Answer: GCF of Numerators as per given numbers 848/29, 721/7199 is
GCF of Numerators i.e. for 848,721 is 1
LCM of denominators i.e. for 29,7199 is 208771.
Thus, GCF of Fractions is 1/208771.Finally, GCF of Fractions for 848/29, 721/7199 is 1/208771.