Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8273/220,9212/4875
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 8273,9212
Greatest Common Factor of Numerators i.e. GCF of 8273,9212 is 1 .
LCM of Denominators means LCM of 220,4875 as per the given fractions.
LCM of 220,4875 is 214500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8273,9212
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8273
List of positive integer factors of 8273 that divides 8273 without a remainder.
1,8273
Factors of 9212
List of positive integer factors of 9212 that divides 9212 without a remainder.
1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212
Greatest Common Factor
We found the factors 8273,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 8273,9212 is 1.
Lets's calculate LCM of 220,4875
5 | 220, 4875 |
44, 975 |
∴ So the LCM of the given numbers is 5 x 44 x 975 = 214500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214500
Therefore, the GCF of Fractions 8273/220,9212/4875 is 1/214500
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 220,4875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,4875) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(220,4875) x common factors =5 x 1 = 5
LCM(220,4875) = ( 220 × 4875 ) / 5
LCM(220,4875) = 1072500 / 5
LCM(220,4875) = 214500
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 8273/220, 9212/4875?
Answer: GCF of Numerators as per given numbers 8273/220, 9212/4875 is
GCF of Numerators i.e. for 8273,9212 is 1
LCM of denominators i.e. for 220,4875 is 214500.
Thus, GCF of Fractions is 1/214500.Finally, GCF of Fractions for 8273/220, 9212/4875 is 1/214500.