Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8319/70,7885/887
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 8319,7885
Greatest Common Factor of Numerators i.e. GCF of 8319,7885 is 1 .
LCM of Denominators means LCM of 70,887 as per the given fractions.
LCM of 70,887 is 62090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8319,7885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8319
List of positive integer factors of 8319 that divides 8319 without a remainder.
1,3,47,59,141,177,2773,8319
Factors of 7885
List of positive integer factors of 7885 that divides 7885 without a remainder.
1,5,19,83,95,415,1577,7885
Greatest Common Factor
We found the factors 8319,7885 . The biggest common factor number is the GCF number.
So the greatest common factor 8319,7885 is 1.
Lets's calculate LCM of 70,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 62090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62090
Therefore, the GCF of Fractions 8319/70,7885/887 is 1/62090
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 70,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,887) x common factors =1 x 1 = 1
LCM(70,887) = ( 70 × 887 ) / 1
LCM(70,887) = 62090 / 1
LCM(70,887) = 62090
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 8319/70, 7885/887?
Answer: GCF of Numerators as per given numbers 8319/70, 7885/887 is
GCF of Numerators i.e. for 8319,7885 is 1
LCM of denominators i.e. for 70,887 is 62090.
Thus, GCF of Fractions is 1/62090.Finally, GCF of Fractions for 8319/70, 7885/887 is 1/62090.