Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4946/884,3461/6088
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 4946,3461
Greatest Common Factor of Numerators i.e. GCF of 4946,3461 is 1 .
LCM of Denominators means LCM of 884,6088 as per the given fractions.
LCM of 884,6088 is 1345448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4946,3461
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4946
List of positive integer factors of 4946 that divides 4946 without a remainder.
1,2,2473,4946
Factors of 3461
List of positive integer factors of 3461 that divides 3461 without a remainder.
1,3461
Greatest Common Factor
We found the factors 4946,3461 . The biggest common factor number is the GCF number.
So the greatest common factor 4946,3461 is 1.
Lets's calculate LCM of 884,6088
2 | 884, 6088 |
2 | 442, 3044 |
221, 1522 |
∴ So the LCM of the given numbers is 2 x 2 x 221 x 1522 = 1345448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1345448
Therefore, the GCF of Fractions 4946/884,3461/6088 is 1/1345448
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 884,6088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,6088) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(884,6088) x common factors =4 x 1 = 4
LCM(884,6088) = ( 884 × 6088 ) / 4
LCM(884,6088) = 5381792 / 4
LCM(884,6088) = 1345448
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 4946/884, 3461/6088?
Answer: GCF of Numerators as per given numbers 4946/884, 3461/6088 is
GCF of Numerators i.e. for 4946,3461 is 1
LCM of denominators i.e. for 884,6088 is 1345448.
Thus, GCF of Fractions is 1/1345448.Finally, GCF of Fractions for 4946/884, 3461/6088 is 1/1345448.