Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8838/96,7791/485
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 8838,7791
Greatest Common Factor of Numerators i.e. GCF of 8838,7791 is 3 .
LCM of Denominators means LCM of 96,485 as per the given fractions.
LCM of 96,485 is 46560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8838,7791
3 | 8838, 7791 |
2946, 2597 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8838
List of positive integer factors of 8838 that divides 8838 without a remainder.
1,2,3,6,9,18,491,982,1473,2946,4419,8838
Factors of 7791
List of positive integer factors of 7791 that divides 7791 without a remainder.
1,3,7,21,49,53,147,159,371,1113,2597,7791
Greatest Common Factor
We found the factors 8838,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 8838,7791 is 3.
Lets's calculate LCM of 96,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 46560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46560
Therefore, the GCF of Fractions 8838/96,7791/485 is 3/46560
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 96,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,485) x common factors =1 x 1 = 1
LCM(96,485) = ( 96 × 485 ) / 1
LCM(96,485) = 46560 / 1
LCM(96,485) = 46560
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 8838/96, 7791/485?
Answer: GCF of Numerators as per given numbers 8838/96, 7791/485 is
GCF of Numerators i.e. for 8838,7791 is 3
LCM of denominators i.e. for 96,485 is 46560.
Thus, GCF of Fractions is 3/46560.Finally, GCF of Fractions for 8838/96, 7791/485 is 3/46560.