Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7833/55,9279/835
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 7833,9279
Greatest Common Factor of Numerators i.e. GCF of 7833,9279 is 3 .
LCM of Denominators means LCM of 55,835 as per the given fractions.
LCM of 55,835 is 9185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7833,9279
3 | 7833, 9279 |
2611, 3093 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7833
List of positive integer factors of 7833 that divides 7833 without a remainder.
1,3,7,21,373,1119,2611,7833
Factors of 9279
List of positive integer factors of 9279 that divides 9279 without a remainder.
1,3,9,1031,3093,9279
Greatest Common Factor
We found the factors 7833,9279 . The biggest common factor number is the GCF number.
So the greatest common factor 7833,9279 is 3.
Lets's calculate LCM of 55,835
5 | 55, 835 |
11, 167 |
∴ So the LCM of the given numbers is 5 x 11 x 167 = 9185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9185
Therefore, the GCF of Fractions 7833/55,9279/835 is 3/9185
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 55,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(55,835) x common factors =5 x 1 = 5
LCM(55,835) = ( 55 × 835 ) / 5
LCM(55,835) = 45925 / 5
LCM(55,835) = 9185
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 7833/55, 9279/835?
Answer: GCF of Numerators as per given numbers 7833/55, 9279/835 is
GCF of Numerators i.e. for 7833,9279 is 3
LCM of denominators i.e. for 55,835 is 9185.
Thus, GCF of Fractions is 3/9185.Finally, GCF of Fractions for 7833/55, 9279/835 is 3/9185.