Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7973/350,2225/8849
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 7973,2225
Greatest Common Factor of Numerators i.e. GCF of 7973,2225 is 1 .
LCM of Denominators means LCM of 350,8849 as per the given fractions.
LCM of 350,8849 is 3097150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7973,2225
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7973
List of positive integer factors of 7973 that divides 7973 without a remainder.
1,7,17,67,119,469,1139,7973
Factors of 2225
List of positive integer factors of 2225 that divides 2225 without a remainder.
1,5,25,89,445,2225
Greatest Common Factor
We found the factors 7973,2225 . The biggest common factor number is the GCF number.
So the greatest common factor 7973,2225 is 1.
Lets's calculate LCM of 350,8849
Given numbers has no common factors except 1. So, there LCM is their product i.e 3097150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3097150
Therefore, the GCF of Fractions 7973/350,2225/8849 is 1/3097150
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 350,8849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,8849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(350,8849) x common factors =1 x 1 = 1
LCM(350,8849) = ( 350 × 8849 ) / 1
LCM(350,8849) = 3097150 / 1
LCM(350,8849) = 3097150
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 7973/350, 2225/8849?
Answer: GCF of Numerators as per given numbers 7973/350, 2225/8849 is
GCF of Numerators i.e. for 7973,2225 is 1
LCM of denominators i.e. for 350,8849 is 3097150.
Thus, GCF of Fractions is 1/3097150.Finally, GCF of Fractions for 7973/350, 2225/8849 is 1/3097150.