Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1811/442,5370/3466
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 1811,5370
Greatest Common Factor of Numerators i.e. GCF of 1811,5370 is 1 .
LCM of Denominators means LCM of 442,3466 as per the given fractions.
LCM of 442,3466 is 765986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1811,5370
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1811
List of positive integer factors of 1811 that divides 1811 without a remainder.
1,1811
Factors of 5370
List of positive integer factors of 5370 that divides 5370 without a remainder.
1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370
Greatest Common Factor
We found the factors 1811,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 1811,5370 is 1.
Lets's calculate LCM of 442,3466
2 | 442, 3466 |
221, 1733 |
∴ So the LCM of the given numbers is 2 x 221 x 1733 = 765986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/765986
Therefore, the GCF of Fractions 1811/442,5370/3466 is 1/765986
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 442,3466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,3466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,3466) x common factors =2 x 1 = 2
LCM(442,3466) = ( 442 × 3466 ) / 2
LCM(442,3466) = 1531972 / 2
LCM(442,3466) = 765986
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 1811/442, 5370/3466?
Answer: GCF of Numerators as per given numbers 1811/442, 5370/3466 is
GCF of Numerators i.e. for 1811,5370 is 1
LCM of denominators i.e. for 442,3466 is 765986.
Thus, GCF of Fractions is 1/765986.Finally, GCF of Fractions for 1811/442, 5370/3466 is 1/765986.